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1、SolutionstoEnd-of-SectionandChapterReviewProblems497CHAPTER1212.1(a)Fordf=1and=0.01,=6.635.(b)Fordf=1and=0.005,=7.879.(c)Fordf=1and=0.10,=2.706.12.2(a)Fordf=1and=0.05,=3.841.(b)Fordf=1and=0.025,=5.024.(c)Fordf=1and=0.01,=6.635.12.3(a)-(b)ObservedFreqExpectedFreqObservedFreqExpectedFreqTotalObs,Row12
2、020303050chi-sqcontrib=0chi-sqcontrib=0ObservedFreqExpectedFreqObservedFreqExpectedFreqTotalObs,Row23030454575chi-sqcontrib=0chi-sqcontrib=0TotalObs,Col1TotalObs,Col2GRANDTOTAL5075125(c)=0+0+0+0=0.Since<3.841,itisnotsignificantatthe5%levelofsignificance.12.4(a)ObservedFreqExpectedFreqObservedFreqExp
3、ectedFreqTotalObs,Row12025302550chi-sqcontrib=1.00chi-sqcontrib=1.00ObservedFreqExpectedFreqObservedFreqExpectedFreqTotalObs,Row23025202550chi-sqcontrib=1.00chi-sqcontrib=1.00TotalObs,Col1TotalObs,Col2GRANDTOTAL5050100(b)Decisionrule:If>3.841,rejectH0.Teststatistic:=1.00+1.00+1.00+1.00=4Decision:Sin
4、ce=4isgreaterthanthecriticalvalueof3.841,itissignificantatthe5%levelofsignificance.Copyright©2014PearsonEducation,Inc.SolutionstoEnd-of-SectionandChapterReviewProblems49712.5(a)Chi-SquareTestObservedFrequenciesGenderEnjoyShoppingMaleFemaleTotalYes238276514No304267571Total5425431085ExpectedFrequencie
5、sGenderEnjoyShoppingMaleFemaleTotalYes256.7631257.2369514No285.2369285.7631571Total5425431085DataLevelofSignificance0.01NumberofRows2NumberofColumns2DegreesofFreedom1ResultsCriticalValue6.634897Chi-SquareTestStatistic5.205969p-Value0.022509DonotrejectthenullhypothesisH0:H1:wherepopulation:1=males,2=
6、femalesDecisionrule:df=1.If>6.635,rejectH0.Teststatistic:=5.2060Decision:Since=5.2060islessthantheuppercriticalboundof6.6349,donotrejectH0.Thereisnotenoughevidencetoconcludethatthereissignificantdifferencebetweentheproportionsofmalesandfemaleswhoenjoyshoppingforclothingforthemselvesatthe0.01levelofs
7、ignificance.(b)p-value=0.0225.Theprobabilityofobtainingateststatisticof5.2060orlargerwhenthenullhypothesisistrueis0.0225.Copyright©2014PearsonEducation,Inc.SolutionstoEnd-of-SectionandChapterReviewPro
