<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/983d0235-e460-4492-b69a-9fd7fba77b69/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls21 ws16"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls21 ws16">1 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls21 ws16"> </div></div><div class="t m0 x1 h4 y5 ff2 fs1 fc1 sc0 ls21 ws16">Estatística Aplicada - Resumo </div><div class="t m0 x1 h4 y6 ff2 fs1 fc1 sc0 ls21 ws16"> </div><div class="t m0 x1 h5 y7 ff3 fs2 fc0 sc0 ls21 ws16">TESTE PARA DIFERENÇA DE DUAS </div><div class="t m0 x1 h5 y8 ff3 fs2 fc0 sc0 ls21 ws16">PROPORÇÕES </div><div class="t m0 x1 h6 y9 ff2 fs3 fc0 sc0 ls21 ws16">Sejam <span class="ff4 ls0">X<span class="fs4 ls1 v1">\ueb35</span><span class="ls21 ws0">, \u2026 , X<span class="_0 blank"> </span><span class="fs4 ls2 v1">\ueb6c</span></span></span> e <span class="ff4">Y</span></div><div class="t m0 x3 h7 ya ff4 fs4 fc0 sc0 ls1">\ueb35<span class="fs3 ls21 ws1 v2">, \u2026 , Y</span></div><div class="t m0 x4 h7 ya ff4 fs4 fc0 sc0 ls3">\ue715<span class="ff2 fs3 ls21 ws16 v2"> a.a\u2019s de <span class="ff4 ws2">\ue73a<span class="_1 blank"> </span>\u223c \ue724\ue741\ue74e<span class="_0 blank"></span>(\ue74c</span></span></div><div class="t m0 x5 h7 ya ff4 fs4 fc0 sc0 ls4">\uebd1<span class="fs3 ls21 ws3 v2">)<span class="ff2 ls5 ws16"> e </span><span class="ws2">\ue73b \u223c \ue724\ue741\ue74e<span class="_0 blank"> </span>(\ue74c</span></span></div><div class="t m0 x6 h7 ya ff4 fs4 fc0 sc0 ls6">\uebd2<span class="fs3 ls21 ws3 v2">)<span class="ff2 ws16">, respectivamente, </span></span></div><div class="t m0 x1 h6 yb ff2 fs3 fc0 sc0 ls21 ws16">com <span class="ff4">\ue73a </span><span class="ls7">e</span><span class="ff4"> \ue73b<span class="_0 blank"></span></span> independentes. Defin<span class="_2 blank"></span>imos: </div><div class="t m0 x7 h6 yc ff4 fs3 fc0 sc0 ls21 ws4">\uedcd \ue73a</div><div class="t m0 x8 h8 yd ff4 fs4 fc0 sc0 ls21">\uebdc</div><div class="t m0 x9 h8 ye ff4 fs4 fc0 sc0 ls21">\uebe1</div><div class="t m0 x7 h9 yf ff4 fs4 fc0 sc0 ls21 ws5">\uebdc \ueb40\ueb35<span class="_3 blank"> </span><span class="fs3 ws2 v3">\u223c \ue724\ue745\ue74a<span class="ws3 v4">(</span><span class="ws16">\ue74a<span class="_0 blank"> </span>,<span class="_4 blank"> </span> \ue74c</span></span></div><div class="t m0 xa ha yd ff4 fs4 fc0 sc0 ls4">\uebd1<span class="fs3 ls21 ws3 v5">)<span class="ff2 ws16 v6"> e <span class="_4 blank"> </span><span class="ff4 ws4">\uedcd \ue73b</span></span></span></div><div class="t m0 xb h8 yd ff4 fs4 fc0 sc0 ls21">\uebdc</div><div class="t m0 xc h8 ye ff4 fs4 fc0 sc0 ls21">\uebe0</div><div class="t m0 xd hb yf ff4 fs4 fc0 sc0 ls21 ws5">\uebdc \ueb40\ueb35<span class="_5 blank"> </span><span class="fs3 ws16 v3">\u223c<span class="_6 blank"> </span>\ue724\ue745\ue74a(\ue749<span class="_0 blank"> </span>,<span class="_4 blank"> </span> \ue74c</span></div><div class="t m0 x6 h7 yd ff4 fs4 fc0 sc0 ls6">\uebd2<span class="fs3 ls21 ws3 v2">)<span class="ff2 ws16"> </span></span></div><div class="t m0 x1 hc y10 ff2 fs3 fc0 sc0 ls21 ws16">E </div><div class="t m0 xe h6 y11 ff4 fs3 fc0 sc0 ls21">\ue732</div><div class="t m0 xf h6 y12 ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x10 hd y13 ff4 fs4 fc0 sc0 ls8">\uebd1<span class="fs3 ls9 v2">=<span class="lsa v7">\u2211<span class="ls21 v6">\ue73a</span></span></span></div><div class="t m0 x11 h8 y14 ff4 fs4 fc0 sc0 ls21">\uebdc</div><div class="t m0 x12 h8 y15 ff4 fs4 fc0 sc0 ls21">\uebe1</div><div class="t m0 x12 h8 y16 ff4 fs4 fc0 sc0 ls21 ws6">\uebdc\ueb40 \ueb35</div><div class="t m0 x13 he y17 ff4 fs3 fc0 sc0 lsb">\ue74a<span class="ls21 ws16 v8"> <span class="ff2">e </span>\ue732</span></div><div class="t m0 xc h6 y12 ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x14 hd y13 ff4 fs4 fc0 sc0 lsc">\uebd2<span class="fs3 ls9 v2">=<span class="lsd v7">\u2211<span class="ls21 v6">\ue73b</span></span></span></div><div class="t m0 x15 h8 y14 ff4 fs4 fc0 sc0 ls21">\uebdc</div><div class="t m0 x16 h8 y15 ff4 fs4 fc0 sc0 ls21">\uebe1</div><div class="t m0 x16 h8 y16 ff4 fs4 fc0 sc0 ls21 ws6">\uebdc\ueb40\ueb35</div><div class="t m0 x17 h6 y17 ff4 fs3 fc0 sc0 lse">\ue749<span class="ff2 ls21 ws16 v8"> </span></div><div class="t m0 x1 h6 y18 ff2 fs3 fc0 sc0 ls5 ws16">Se <span class="ff4 ls21">\ue74a<span class="_6 blank"> </span>\u2192<span class="_6 blank"> </span>\u221e <span class="ff2">e </span><span class="ws7">\ue749<span class="_1 blank"> </span>\u2192 \u221e</span><span class="ff2">, pelo TCL: </span></span></div><div class="t m0 x18 h6 y19 ff4 fs3 fc0 sc0 ls21">\ue732</div><div class="t m0 x19 h6 y1a ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x1a h7 y1b ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws8 v2">\u2248<span class="_6 blank"> </span>\ue730 \uf246\ue74c</span></div><div class="t m0 x1b hf y1b ff4 fs4 fc0 sc0 ls4">\uebd1<span class="fs3 ls10 v2">,<span class="ls21 v9">\ue74c</span></span></div><div class="t m0 x1c ha y1c ff4 fs4 fc0 sc0 ls4">\uebd1<span class="fs3 ls21 ws16 v2"> <span class="ws3 v4">(</span><span class="ws9">1 \u2212 \ue74c</span></span></div><div class="t m0 x1d ha y1c ff4 fs4 fc0 sc0 ls4">\uebd1<span class="fs3 ls21 v5">)</span></div><div class="t m0 x1e he y1d ff4 fs3 fc0 sc0 ls11">\ue74a<span class="ls21 ws16 v8">\uf247<span class="_4 blank"> </span> <span class="ff2 ls7">e</span> \ue732</span></div><div class="t m0 xc h6 y1a ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x14 h7 y1b ff4 fs4 fc0 sc0 lsc">\uebd2<span class="fs3 ls21 ws8 v2">\u2248<span class="_6 blank"> </span>\ue730 \uf246\ue74c</span></div><div class="t m0 x1f hf y1b ff4 fs4 fc0 sc0 ls6">\uebd2<span class="fs3 ls12 v2">,<span class="ls21 v9">\ue74c</span></span></div><div class="t m0 x20 ha y1c ff4 fs4 fc0 sc0 ls6">\uebd2<span class="fs3 ls21 ws16 v2"> <span class="ws3 v4">(</span><span class="ws9">1 \u2212 \ue74c</span></span></div><div class="t m0 x21 ha y1c ff4 fs4 fc0 sc0 ls13">\uebd2<span class="fs3 ls21 v5">)</span></div><div class="t m0 x22 he y1d ff4 fs3 fc0 sc0 ls14">\ue749<span class="ls21 ws3 v8">\uf247<span class="ff2 ws16"> </span></span></div><div class="t m0 x1 hc y1e ff2 fs3 fc0 sc0 ls21 ws16">Então: </div><div class="t m0 x23 h10 y1f ff4 fs3 fc0 sc0 ls21 wsa">\ue73c =<span class="_5 blank"> </span><span class="ws3 v9">\ued6b\ue732</span></div><div class="t m0 x10 h6 y20 ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x24 h7 y21 ff4 fs4 fc0 sc0 ls15">\uebd1<span class="fs3 ls21 wsb v2">\u2212 \ue732</span></div><div class="t m0 x25 h6 y20 ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x12 ha y21 ff4 fs4 fc0 sc0 ls6">\uebd2<span class="fs3 ls21 ws9 v2">\ued6f \u2212 <span class="ws3 v4">(</span>\ue74c</span></div><div class="t m0 x26 h7 y21 ff4 fs4 fc0 sc0 ls16">\uebd1<span class="fs3 ls21 wsb v2">\u2212 \ue74c</span></div><div class="t m0 x27 ha y21 ff4 fs4 fc0 sc0 ls13">\uebd2<span class="fs3 ls21 v5">)</span></div><div class="t m0 x8 h11 y22 ff4 fs3 fc0 sc0 ls21 ws3">\ueda7<span class="va">\ue74c</span></div><div class="t m0 xf ha y23 ff4 fs4 fc0 sc0 ls4">\uebd1<span class="fs3 ls21 ws16 v2"> <span class="ws3 v4">(</span><span class="ws9">1 \u2212 \ue74c</span></span></div><div class="t m0 x1d ha y23 ff4 fs4 fc0 sc0 ls4">\uebd1<span class="fs3 ls21 v5">)</span></div><div class="t m0 x1e h12 y24 ff4 fs3 fc0 sc0 ls17">\ue74a<span class="ff2 ls18 vb">+</span><span class="ls21 vc">\ue74c</span></div><div class="t m0 x28 ha y23 ff4 fs4 fc0 sc0 ls13">\uebd2<span class="fs3 ls21 ws16 v2"> <span class="ws3 v4">(</span><span class="ws9">1 \u2212 \ue74c</span></span></div><div class="t m0 x16 ha y23 ff4 fs4 fc0 sc0 ls6">\uebd2<span class="fs3 ls21 v5">)</span></div><div class="t m0 x29 h13 y24 ff4 fs3 fc0 sc0 ls19">\ue749<span class="ls21 wsc vd">\u223c \ue730<span class="_0 blank"></span>(0,1)<span class="ff2 ws16"> </span></span></div><div class="t m0 x1 h14 y25 ff3 fs5 fc1 sc0 ls21 ws16">Procedimento </div><div class="t m0 x2a hc y26 ff2 fs3 fc0 sc0 ls21 wsd">1.<span class="ff5 ls1a ws16"> </span><span class="ws16">Formulação das hipóteses: </span></div><div class="t m0 x2b h15 y27 ff4 fs3 fc0 sc0 ls21 ws3">\ued5c<span class="v8">\ue72a</span></div><div class="t m0 x2c h7 y28 ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x2d h7 y28 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws2 v2">= \ue74c</span></div><div class="t m0 x2e h8 y28 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x2f h6 y29 ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x2c h7 y2a ff4 fs4 fc0 sc0 ls1">\ueb35<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x2d h7 y2a ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws2 v2">\u2260 \ue74c</span></div><div class="t m0 x2e h16 y2a ff4 fs4 fc0 sc0 ls1c">\uebd2<span class="fs3 ls21 ws16 v9"> ;<span class="_4 blank"> </span> <span class="_4 blank"> </span>\ued5c<span class="v8">\ue72a</span></span></div><div class="t m0 x30 h7 y28 ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x31 h7 y28 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws2 v2">= \ue74c</span></div><div class="t m0 x1e h8 y28 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x32 h6 y29 ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x30 h7 y2a ff4 fs4 fc0 sc0 ls1b">\ueb35<span class="fs3 ls21 wsf v2">: \ue74c</span></div><div class="t m0 x31 h7 y2a ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws10 v2">> \ue74c</span></div><div class="t m0 x1e h16 y2a ff4 fs4 fc0 sc0 ls1d">\uebd2<span class="fs3 ls21 ws16 v9"> <span class="ff6 ws11">ou <span class="ff4 ls1e">\ued5c</span></span><span class="v8">\ue72a</span></span></div><div class="t m0 x33 h7 y28 ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x26 h7 y28 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws12 v2">\u2264 \ue74c</span></div><div class="t m0 x34 h8 y28 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 xa h6 y29 ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x33 h7 y2a ff4 fs4 fc0 sc0 ls1">\ueb35<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x26 h7 y2a ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws10 v2">> \ue74c</span></div><div class="t m0 x34 h16 y2a ff4 fs4 fc0 sc0 ls1c">\uebd2<span class="fs3 ls21 ws16 v9"> ;<span class="_4 blank"> </span> <span class="_4 blank"> </span>\ued5c<span class="v8">\ue72a</span></span></div><div class="t m0 x35 h7 y28 ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x36 h7 y28 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws2 v2">= \ue74c</span></div><div class="t m0 x37 h8 y28 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x38 h6 y29 ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x35 h7 y2a ff4 fs4 fc0 sc0 ls1">\ueb35<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x36 h7 y2a ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws10 v2">< \ue74c</span></div><div class="t m0 x37 h16 y2a ff4 fs4 fc0 sc0 ls1c">\uebd2<span class="fs3 ls21 ws16 v9"> <span class="ff6 ws13">ou <span class="ff4 ws3">\ued5c<span class="v8">\ue72a</span></span></span></span></div><div class="t m0 x39 h7 y28 ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="fs3 ls21 wsf v2">: \ue74c</span></div><div class="t m0 x3a h7 y28 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws10 v2">\u2265 \ue74c</span></div><div class="t m0 x3b h8 y28 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x3c h6 y29 ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x39 h7 y2a ff4 fs4 fc0 sc0 ls1b">\ueb35<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x3a h7 y2a ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws12 v2">< \ue74c</span></div><div class="t m0 x3b h17 y2a ff4 fs4 fc0 sc0 ls1d">\uebd2<span class="ff6 fs3 ls21 ws16 v9"> </span></div><div class="t m0 x2a hc y2b ff2 fs3 fc0 sc0 ls21 wsd">2.<span class="ff5 ls1f ws16"> </span><span class="ws16">O nível de significância é escolhido. </span></div><div class="t m0 x2a h6 y2c ff2 fs3 fc0 sc0 ls21 wsd">3.<span class="ff5 ls20 ws16"> </span><span class="ws16">Sob <span class="ff4">\ue72a</span></span></div><div class="t m0 x3d h8 y2d ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="ff2 fs3 ls21 ws16 v2">, a estatística do teste é: </span></div><div class="t m0 x4 h18 y2e ff4 fs3 fc0 sc0 ls21 wsa">\ue73c =<span class="_7 blank"> </span><span class="v9">\ue732</span></div><div class="t m0 x3e h6 y2f ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x11 h7 y30 ff4 fs4 fc0 sc0 ls16">\uebd1<span class="fs3 ls21 ws14 v2">\u2212 \ue732</span></div><div class="t m0 x14 h6 y2f ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x5 h8 y30 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x10 h11 y31 ff4 fs3 fc0 sc0 ls21 ws3">\ueda7<span class="va">\ue74c</span></div><div class="t m0 x3f ha y32 ff4 fs4 fc0 sc0 ls4">\uebd1<span class="fs3 ls21 ws16 v2"> <span class="ws3 v4">(</span><span class="ws9">1 \u2212 \ue74c</span></span></div><div class="t m0 x40 ha y32 ff4 fs4 fc0 sc0 ls4">\uebd1<span class="fs3 ls21 v5">)</span></div><div class="t m0 x41 h12 y33 ff4 fs3 fc0 sc0 ls17">\ue74a<span class="ff6 ls18 vb">+</span><span class="ls21 vc">\ue74c</span></div><div class="t m0 x29 ha y32 ff4 fs4 fc0 sc0 ls13">\uebd2<span class="fs3 ls21 ws16 v2"> <span class="ws3 v4">(</span><span class="ws9">1 \u2212 \ue74c</span></span></div><div class="t m0 x38 ha y32 ff4 fs4 fc0 sc0 ls6">\uebd2<span class="fs3 ls21 v5">)</span></div><div class="t m0 x42 h13 y33 ff4 fs3 fc0 sc0 ls19">\ue749<span class="ls21 wsc vd">\u223c \ue730<span class="_0 blank"></span>(0,1)<span class="ff6 ws16"> </span></span></div><div class="t m0 x43 h6 y34 ff2 fs3 fc0 sc0 ls21 ws16">Mas, sob <span class="ff4">\ue72a</span></div><div class="t m0 x44 h7 y35 ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="fs3 ls21 ws15 v2">, \ue74c</span></div><div class="t m0 x9 h7 y35 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws2 v2">= \ue74c</span></div><div class="t m0 x45 h8 y35 ff4 fs4 fc0 sc0 ls13">\uebd2<span class="ff2 fs3 ls21 ws16 v2">. Então: </span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/983d0235-e460-4492-b69a-9fd7fba77b69/bg2.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls21 ws16"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls21 ws16">2 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls21 ws16"> </div></div><div class="t m0 x46 h18 y36 ff4 fs3 fc0 sc0 ls21 wsa">\ue73c =<span class="_8 blank"> </span><span class="v9">\ue732</span></div><div class="t m0 x47 h6 y37 ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x48 h7 y38 ff4 fs4 fc0 sc0 ls15">\uebd1<span class="fs3 ls21 wsb v2">\u2212 \ue732</span></div><div class="t m0 x1d h6 y37 ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x49 h8 y38 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x4a h6 y39 ff4 fs3 fc0 sc0 ls21 ws3">\ueda7<span class="ve">\ue732</span></div><div class="t m0 x4b h6 y3a ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x45 h7 y3b ff4 fs4 fc0 sc0 ls22">\uebe3<span class="fs3 ls21 ws9 v2">\ued6b1 \u2212 \ue732</span></div><div class="t m0 x4c h6 y3a ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x25 h19 y3b ff4 fs4 fc0 sc0 ls22">\uebe3<span class="fs3 ls21 wse v2">\ued6f \uf240<span class="vf">1</span></span></div><div class="t m0 x4d h1a y3c ff4 fs3 fc0 sc0 ls23">\ue74a<span class="ls24 vb">+</span><span class="ls21 vc">1</span></div><div class="t m0 x26 h1b y3c ff4 fs3 fc0 sc0 ls25">\ue749<span class="ls10 vb">\uf241</span><span class="ls21 ws16 v10"> <span class="ff2">, onde</span> \ue732</span></div><div class="t m0 x38 h6 y3d ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x4e hf y3e ff4 fs4 fc0 sc0 ls26">\uebe3<span class="fs3 ls9 v2">=<span class="ls21 ws16 v9">\ue74a \ue732</span></span></div><div class="t m0 x4f h6 y37 ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x50 h7 y38 ff4 fs4 fc0 sc0 ls16">\uebd1<span class="fs3 ls21 ws16 v2">+ \ue749 \ue732</span></div><div class="t m0 x51 h6 y37 ff4 fs3 fc0 sc0 ls21">\uede0</div><div class="t m0 x52 h8 y38 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x50 h6 y3f ff4 fs3 fc0 sc0 ls21 wsb">\ue74a + \ue749<span class="_5 blank"> </span><span class="ff2 ws16 v8"> </span></div><div class="t m0 x1 hc y40 ff2 fs3 fc0 sc0 ls21 ws16"> </div><div class="t m0 x2a hc y41 ff2 fs3 fc0 sc0 ls21 wsd">4.<span class="ff5 ls27 ws16"> </span><span class="ws16">Região crítica: </span></div><div class="t m0 x53 h15 y42 ff7 fs3 fc0 sc0 ls21 ws17">\uf0b7<span class="ff5 ls28 ws16"> </span><span class="ff4 ws3">\ued5c<span class="v8">\ue72a</span></span></div><div class="t m0 x1a h7 y43 ff4 fs4 fc0 sc0 ls1">\ueb34<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x46 h7 y43 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws2 v2">= \ue74c</span></div><div class="t m0 x1b h8 y43 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x18 h6 y44 ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x1a h7 y45 ff4 fs4 fc0 sc0 ls1b">\ueb35<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x46 h7 y45 ff4 fs4 fc0 sc0 ls29">\uebd1<span class="fs3 ls21 ws2 v2">\u2260 \ue74c</span></div><div class="t m0 x1b h1c y45 ff4 fs4 fc0 sc0 ls2a">\uebd2<span class="ff2 fs3 ls21 ws16 v9"> </span></div><div class="t m0 x54 hc y46 ff2 fs3 fc0 sc0 ls21 ws16"> </div><div class="t m0 x55 h1d y47 ff4 fs3 fc0 sc0 ls21 ws2">\ue734\ue725<span class="_9 blank"> </span>= <span class="ws3 v4">{</span><span class="ws16">\ue756<span class="_6 blank"> </span>\u2208<span class="_6 blank"> </span>\u211d <span class="ws3 v4">|</span> \ue756<span class="_1 blank"> </span>\u2264<span class="_6 blank"> </span>\ue756<span class="fs4 ls2b v11">\uf240</span><span class="fs4">\uec08</span></span></div><div class="t m0 x56 h1e y48 ff4 fs4 fc0 sc0 ls1">\ueb36<span class="ls2c v12">\uf241</span><span class="fs3 ls21 ws16 v9"> <span class="ff2">ou <span class="ff4 ws10">\ue756 \u2265 \ue756<span class="_0 blank"></span></span></span></span><span class="ls21 ws18 v12">\uf240\ueb35\ueb3f<span class="va">\uec08</span></span></div><div class="t m0 x57 h1e y48 ff4 fs4 fc0 sc0 ls1">\ueb36<span class="ls2c v12">\uf241</span><span class="fs3 ls21 ws3 v9">}<span class="ff2 ws16"> </span></span></div><div class="t m0 x1c h6 y49 ff4 fs3 fc0 sc0 ls21 ws3">\ue734\ue725</div><div class="c x1c y4a w3 h1f"><div class="t m0 x0 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="c x58 y4a w4 h1f"><div class="t m0 x59 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="c x5a y4a w5 h1f"><div class="t m0 x59 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="c x5b y4a w6 h1f"><div class="t m0 x59 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="t m0 x48 h1d y49 ff4 fs3 fc0 sc0 ls9">=<span class="ls21 ws3 v4">{</span><span class="ls21 ws16">\ue756<span class="_6 blank"> </span>\u2208<span class="_6 blank"> </span>\u211d <span class="ws3 v4">|</span> \ue756<span class="fs4 ls2b v11">\uf240</span><span class="fs4">\uec08</span></span></div><div class="t m0 x5 h1e y4c ff4 fs4 fc0 sc0 ls1">\ueb36<span class="ls2d v12">\uf241</span><span class="fs3 ls21 ws10 v9">< \ue756<span class="_6 blank"> </span>< \ue756<span class="_0 blank"></span></span><span class="ls21 ws18 v12">\uf240\ueb35\ueb3f<span class="va">\uec08</span></span></div><div class="t m0 x36 h1e y4c ff4 fs4 fc0 sc0 ls1">\ueb36<span class="ls2c v12">\uf241</span><span class="fs3 ls21 ws3 v9">}<span class="ff2 ws16"> </span></span></div><div class="t m0 x53 h15 y4d ff7 fs3 fc0 sc0 ls21 ws17">\uf0b7<span class="ff5 ls28 ws16"> </span><span class="ff4 ws3">\ued5c<span class="v8">\ue72a</span></span></div><div class="t m0 x1a h7 y4e ff4 fs4 fc0 sc0 ls1">\ueb34<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x46 h7 y4e ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws2 v2">= \ue74c</span></div><div class="t m0 x1b h8 y4e ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x18 h6 y4f ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x1a h7 y50 ff4 fs4 fc0 sc0 ls1">\ueb35<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x46 h7 y50 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws12 v2">> \ue74c</span></div><div class="t m0 x1b h16 y50 ff4 fs4 fc0 sc0 ls2a">\uebd2<span class="fs3 ls21 ws16 v9"> <span class="ff6 ws13">ou <span class="ff4 ls1e">\ued5c</span></span><span class="v8">\ue72a</span></span></div><div class="t m0 x48 h7 y4e ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x5c h7 y4e ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws10 v2">\u2264 \ue74c</span></div><div class="t m0 x5d h8 y4e ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x5b h6 y4f ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x3f h7 y50 ff4 fs4 fc0 sc0 ls1b">\ueb35<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x5c h7 y50 ff4 fs4 fc0 sc0 ls29">\uebd1<span class="fs3 ls21 ws10 v2">> \ue74c</span></div><div class="t m0 x5d h1c y50 ff4 fs4 fc0 sc0 ls2a">\uebd2<span class="ff2 fs3 ls21 ws16 v9"> </span></div><div class="t m0 x3a hc y51 ff2 fs3 fc0 sc0 ls21 ws16"> </div><div class="t m0 x48 h1d y52 ff4 fs3 fc0 sc0 ls21 ws2">\ue734\ue725<span class="_9 blank"> </span>= <span class="ws3 v4">{</span><span class="ws16">\ue756<span class="_6 blank"> </span>\u2208<span class="_6 blank"> </span>\u211d <span class="ws3 v4">|</span> \ue756<span class="_1 blank"> </span>\u2265<span class="_6 blank"> </span>\ue756<span class="fs4 ls2e v13">(</span><span class="fs4 ws19 v1">\ueb35\ueb3f\uec08<span class="ls2f v4">)</span></span><span class="ws3">}</span><span class="ff2"> </span></span></div><div class="t m0 x48 h6 y53 ff4 fs3 fc0 sc0 ls21 ws3">\ue734\ue725</div><div class="c x48 y54 w3 h1f"><div class="t m0 x0 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="c x5e y54 w4 h1f"><div class="t m0 x59 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="c x4c y54 w5 h1f"><div class="t m0 x59 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="c x25 y54 w6 h1f"><div class="t m0 x59 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="t m0 x41 h1d y53 ff4 fs3 fc0 sc0 ls9">=<span class="ls21 ws3 v4">{</span><span class="ls21 ws16">\ue756<span class="_6 blank"> </span>\u2208<span class="_6 blank"> </span>\u211d <span class="ws3 v4">|</span> \ue756<span class="_1 blank"> </span><<span class="_6 blank"> </span>\ue756<span class="fs4 ls2e v13">(</span><span class="fs4 ws19 v1">\ueb35\ueb3f\uec08<span class="ls2f v4">)</span></span><span class="ws3">}</span><span class="ff2"> </span></span></div><div class="t m0 x53 h15 y55 ff7 fs3 fc0 sc0 ls21 ws17">\uf0b7<span class="ff5 ls28 ws16"> </span><span class="ff4 ws3">\ued5c<span class="v8">\ue72a</span></span></div><div class="t m0 x1a h7 y56 ff4 fs4 fc0 sc0 ls1">\ueb34<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x46 h7 y56 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws2 v2">= \ue74c</span></div><div class="t m0 x1b h8 y56 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x18 h6 y57 ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x1a h7 y58 ff4 fs4 fc0 sc0 ls1">\ueb35<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x46 h7 y58 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws12 v2">< \ue74c</span></div><div class="t m0 x1b h16 y58 ff4 fs4 fc0 sc0 ls30">\uebd2<span class="fs3 ls21 ws16 v9"> <span class="ff6 ws13">ou <span class="ff4 ls1e">\ued5c</span></span><span class="v8">\ue72a</span></span></div><div class="t m0 x1e h7 y56 ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x41 h7 y56 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws12 v2">\u2265 \ue74c</span></div><div class="t m0 x5f h8 y56 ff4 fs4 fc0 sc0 ls21">\uebd2</div><div class="t m0 x60 h6 y57 ff4 fs3 fc0 sc0 ls21">\ue72a</div><div class="t m0 x1e h7 y58 ff4 fs4 fc0 sc0 ls1">\ueb35<span class="fs3 ls21 wse v2">: \ue74c</span></div><div class="t m0 x41 h7 y58 ff4 fs4 fc0 sc0 lsf">\uebd1<span class="fs3 ls21 ws10 v2">< \ue74c</span></div><div class="t m0 x5f h1c y58 ff4 fs4 fc0 sc0 ls1d">\uebd2<span class="ff2 fs3 ls21 ws16 v9"> </span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/983d0235-e460-4492-b69a-9fd7fba77b69/bg3.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls21 ws16"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls21 ws16">3 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls21 ws16"> </div></div><div class="t m0 x61 hc y59 ff2 fs3 fc0 sc0 ls21 ws16"> </div><div class="t m0 x5e h1d y5a ff4 fs3 fc0 sc0 ls21 ws2">\ue734\ue725<span class="_9 blank"> </span>= <span class="ws3 v4">{</span><span class="ws16">\ue756<span class="_6 blank"> </span>\u2208<span class="_1 blank"> </span>\u211d <span class="ws3 v4">|</span> \ue756<span class="_6 blank"> </span>\u2264<span class="_6 blank"> </span>\ue756<span class="fs4 ls2e v13">(<span class="ls31 v6">\uec08</span><span class="ls2f">)</span></span><span class="ws3">}</span><span class="ff2"> </span></span></div><div class="t m0 x5e h6 y5b ff4 fs3 fc0 sc0 ls21 ws3">\ue734\ue725</div><div class="c x5e y5c w3 h1f"><div class="t m0 x0 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="c x25 y5c w4 h1f"><div class="t m0 x59 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="c x12 y5c w5 h1f"><div class="t m0 x59 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="c x5c y5c w6 h1f"><div class="t m0 x59 h6 y4b ff4 fs3 fc0 sc0 ls21">\ued24</div></div><div class="t m0 x62 h1d y5b ff4 fs3 fc0 sc0 ls9">=<span class="ls21 ws3 v4">{</span><span class="ls21 ws16">\ue756<span class="_6 blank"> </span>\u2208<span class="_1 blank"> </span>\u211d <span class="ws3 v4">|</span> \ue756<span class="_6 blank"> </span>><span class="_6 blank"> </span>\ue756<span class="fs4 ls2e v13">(<span class="ls31 v6">\uec08</span><span class="ls2f">)</span></span><span class="ws3">}</span><span class="ff2"> </span></span></div><div class="t m0 x2a hc y5d ff2 fs3 fc0 sc0 ls21 wsd">5.<span class="ff5 ls32 ws16"> </span><span class="ws16">Cálculo do valor tomado pela estatística do teste: </span></div><div class="t m0 x63 h18 y5e ff4 fs3 fc0 sc0 ls21 ws1a">\ue756 =<span class="_a blank"> </span><span class="ws3 v9">\ue74c<span class="_b blank"></span>\u0302<span class="_0 blank"></span><span class="fs4 ls16 v1">\uebd1</span><span class="ws1b">\u2212<span class="_c blank"> </span>\ue74c<span class="_b blank"></span>\u0302 <span class="fs4 v1">\uebd2</span></span></span></div><div class="t m0 x8 h20 y5f ff4 fs3 fc0 sc0 ls21 ws3">\ueda7<span class="ve">\ue74c<span class="_b blank"></span>\u0302<span class="_0 blank"></span><span class="fs4 ls22 v1">\uebe3</span><span class="ws14">\ued6b1 \u2212 \ue74c<span class="_b blank"></span>\u0302<span class="_0 blank"></span><span class="fs4 ls22 v1">\uebe3</span><span class="ls33">\ued6f</span><span class="vf">1</span></span></span></div><div class="t m0 x64 h1a y60 ff4 fs3 fc0 sc0 ls34">\ue74a<span class="ff6 ls35 vb">+</span><span class="ls21 vc">1</span></div><div class="t m0 x28 h21 y60 ff4 fs3 fc0 sc0 ls36">\ue749<span class="ls21 ws16 v10"> <span class="ff6">, onde <span class="ff4 ws3">\ue74c<span class="_b blank"></span>\u0302<span class="_0 blank"> </span><span class="fs4 ls37 v1">\uebe3</span><span class="ls9">=</span><span class="ws16 v9">\ue74a \ue74c<span class="_b blank"></span>\u0302<span class="_0 blank"></span><span class="fs4 ls16 v1">\uebd1</span>+ \ue749 \ue74c<span class="_b blank"></span>\u0302<span class="_0 blank"> </span><span class="fs4 v1">\uebd2</span></span></span></span></span></div><div class="t m0 x65 h6 y61 ff4 fs3 fc0 sc0 ls21 wsb">\ue74a + \ue749<span class="_d blank"> </span><span class="ff6 ws16 v8"> </span></div><div class="t m0 x2a hc y62 ff2 fs3 fc0 sc0 ls21 wsd">6.<span class="ff5 ls38 ws16"> </span><span class="ws16">Decisão: </span></div><div class="t m0 x53 h6 y63 ff5 fs3 fc0 sc0 ls21 ws16">\u2022 <span class="_e blank"> </span><span class="ff2">Rejeitar <span class="ff4">\ue72a</span></span></div><div class="t m0 x30 h7 y64 ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="ff2 fs3 ls21 ws16 v2"> se <span class="ff4 ws1c">\ue756<span class="_1 blank"> </span>\u2208<span class="_6 blank"> </span>\ue734\ue725 </span>. </span></div><div class="t m0 x53 h6 y65 ff5 fs3 fc0 sc0 ls21 ws16">\u2022 <span class="_e blank"> </span><span class="ff2">Não rejeitar <span class="ff4">\ue72a</span></span></div><div class="t m0 x66 h7 y66 ff4 fs4 fc0 sc0 ls1b">\ueb34<span class="ff2 fs3 ls21 ws16 v2"> se <span class="ff4 ws1d">\ue756<span class="_6 blank"> </span>\u2209<span class="_6 blank"> </span>\ue734\ue725 </span>. </span></div><div class="t m0 x1 h22 y67 ff2 fs0 fc0 sc0 ls21 ws16"> </div><div class="t m0 x1 h22 y4f ff2 fs0 fc0 sc0 ls21 ws16"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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