7.4 Inference 2 Population Proportion

# 7.4 Inference 2 Population Proportion - 'I'U'll HOmEWOPF=...

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Unformatted text preview: 'I'U'll HOmEWOPF= ‘lWi‘lﬁlSE‘MJBI ﬁlaﬁsa f Section7-4 6M6: : 2 Prop 052 summ 2 PM P Inference about two population proportions with independent samples n A Req”"e“°"dlti°"s=mrqe enoumh 9mmPIe 9‘19, H.215 n.0tl3l9 fmd WNW under. 9mmPIQS mremren szls moms 61, ' I ' v Ho: p1 = p2 Test Statistic: z= 5:153: p = “”2 Eﬁﬂat'ﬁ) n1+n2 Ha! p1 > p: Reject Ho if: 2 > Z‘1 Pvalue = P(Z > T5) Ha: p1 < p2 Reject Ho if: Z < -Za Pvalue = P(Z < TS) Ha: p1 :6 p2 Reject Ho if: |Z| > 20,2 Pvalue = 2P(Z> |TS|) Between 0 amdl Confidence Interval: (5} 45;) 12“,; 1531; + bid; (I .5 E .. or- Wm Ll: * f Ex: When asked about their favorite food prepared on a barbeque, 662 of 1250 randomly sampled Democrats preferred steak, as compared to 586 of 930 randomly sampled 0,5“, 095—? “”5 E ~ Republicans. " Z .05 : Z 5‘ (a 2092 /3 .025 A . . leD .11: In E. . gonstruct a 95% conﬁgence interval for the difference between the proportions of all Tmbl a : ‘ a"; , Demdcrats and all Repu icans who prefer steak as their favorite barbeque food. Interpret your ' 0b = - 05 A agfrigso (v1 — 6‘2) 2 1 «IMF—7' ME" = = . 30 E ,_ f‘ E [ﬁg/mo a S (0.530'0.630)1 l.0lbVt-s»oT.11o)+(.m)(a1o) r 0i. l‘.530=-"l10 ”5° ”3° ’ cawy u 7e Es. E nrmo amajause 'd d d A 2 co, to My]. 0mm am in The memo VSQ ,E. {1:563:10‘30 m ‘96? Elm am. len The PWPOHIGM M 0|“ DXR ; E 0E: = lE‘-b30:.7110 Who Prefer steal: as their fan. Ben mod falls bME; E .1; B. an you conclude at the 5% signiﬁcance level that Republicans are more likely than ’. ‘12 (Mid :058 . E: E EE ] Demgats to prefer steak as their favorite barbeque food? ; E l I. “0 : PI: P2 “57.0; alfg 1 H64: PRPZ % f E _ ‘ ' = > 5 “Jim? 2.; MJBM Ho if 77.:- >15165 & P “50 'z’ 7 units 53° = 't.bb"| «evidence to Genomic that l? are more “ as their for. rm food. ,,' , -’, ' E' -- «"‘ ' ,‘..- . ~ '. .1 ' v» i' . '2? >:._ ' 7:" v: . , ,7 n, “.6” Eu“ m _ . ‘- t _a ' ' , Tr-"i". . . .‘ , :‘cuv ._. "m; h. .7: ~-w,., ,7 an, a... ...
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