Unformatted text preview: 'I'U'll HOmEWOPF= ‘lWi‘lﬁlSE‘MJBI ﬁlaﬁsa f Section74 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.0lbVts»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
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 Spring '13
 Leffakis

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