商务统计学第九章习题chap09TIFBSAFC5

FundamentalsofHypothesisTesting:One-SampleTests265Copyright©2010PearsonEducation,Inc.PublishingasPrenticeHallCHAPTER9:FUNDAMENTALSOFHYPOTHESISTESTING:ONE-SAMPLETESTS1.Whichofthefollowingwouldbeanappropriatenullhypothesis?a)Themeanofapopulationisequalto55.b)Themeanofasampleisequalto55.c)Themeanofapopulationisgreaterthan55.d)Only(a)and(c)aretrue.ANSWER:aTYPE:MCDIFFICULTY:EasyKEYWORDS:formofhypothesis2.Whichofthefollowingwouldbeanappropriatenullhypothesis?a)Thepopulationproportionislessthan0.65.b)Thesampleproportionislessthan0.65.c)Thepopulationproportionisnolessthan0.65.d)Thesampleproportionisnolessthan0.65.ANSWER:cTYPE:MCDIFFICULTY:EasyKEYWORDS:formofhypothesis3.Whichofthefollowingwouldbeanappropriatealternativehypothesis?a)Themeanofapopulationisequalto55.b)Themeanofasampleisequalto55.c)Themeanofapopulationisgreaterthan55.d)Themeanofasampleisgreaterthan55.ANSWER:cTYPE:MCDIFFICULTY:EasyKEYWORDS:formofhypothesis4.Whichofthefollowingwouldbeanappropriatealternativehypothesis?a)Thepopulationproportionislessthan0.65.b)Thesampleproportionislessthan0.65.c)Thepopulationproportionisnolessthan0.65.d)Thesampleproportionisnolessthan0.65.ANSWER:aTYPE:MCDIFFICULTY:EasyKEYWORDS:formofhypothesis266FundamentalsofHypothesisTesting:One-SampleTestsCopyright©2010PearsonEducation,Inc.PublishingasPrenticeHall5.ATypeIIerroriscommittedwhena)werejectanullhypothesisthatistrue.b)wedon'trejectanullhypothesisthatistrue.c)werejectanullhypothesisthatisfalse.d)wedon'trejectanullhypothesisthatisfalse.ANSWER:dTYPE:MCDIFFICULTY:EasyKEYWORDS:typeIIerror6.ATypeIerroriscommittedwhena)werejectanullhypothesisthatistrue.b)wedon'trejectanullhypothesisthatistrue.c)werejectanullhypothesisthatisfalse.d)wedon'trejectanullhypothesisthatisfalse.ANSWER:aTYPE:MCDIFFICULTY:EasyKEYWORDS:typeIerror7.Thepowerofatestismeasuredbyitscapabilityofa)rejectinganullhypothesisthatistrue.b)notrejectinganullhypothesisthatistrue.c)rejectinganullhypothesisthatisfalse.d)notrejectinganullhypothesisthatisfalse.ANSWER:cTYPE:MCDIFFICULTY:EasyKEYWORDS:power8.TrueorFalse:Foragivenlevelofsignificance,ifthesamplesizeisincreased,thepowerofthetestwillincrease.ANSWER:TrueTYPE:TFDIFFICULTY:ModerateKEYWORDS:power,levelofsignificance,samplesize9.TrueorFalse:Foragivenlevelofsignificance,ifthesamplesizeisincreased,theprobabilityofcommittingaTypeIerrorwillincrease.ANSWER:FalseTYPE:TFDIFFICULTY:ModerateKEYWORDS:levelofsignificance,samplesize,typeIerrorFundamentalsofHypothesisTesting:One-SampleTests267Copyright©2010PearsonEducation,Inc.PublishingasPrenticeHall10.TrueorFalse:Foragivenlevelofsignificance,ifthesamplesizeisincreased,theprobabilityofcommittingaTypeIIerrorwillincrease.ANSWER:FalseTYPE:TFDIFFICULTY:ModerateKEYWORDS:levelofsignificance,samplesize,typeIIerror11.TrueorFalse:Foragivensamplesize,theprobabilityofcommittingaTypeIIerrorwillincreasewhentheprobabilityofcommittingaTypeIerrorisreduced.ANSWER:TrueTYPE:TFDIFFICULTY:ModerateKEYWORDS:samplesize,typeIerror,typeIIerror12.Ifaneconomistwishestodeterminewhetherthereisevidencethataveragefamilyincomeinacommunityexceeds$25,000a)eitheraone-tailedortwo-tailedtestcouldbeusedwithequivalentresults.b)aone-tailedtestshouldbeutilized.c)atwo-tailedtestshouldbeutilized.d)Noneoftheabove.ANSWER:bTYPE:MCDIFFICULTY:EasyKEYWORDS:one-tailedtest13.Ifaneconomistwishestodeterminewhetherthereisevidencethataveragefamilyincomeinacommunityequals$25,000a)eitheraone-tailedortwo-tailedtestcouldbeusedwithequivalentresults.b)aone-tailedtestshouldbeutilized.c)atwo-tailedtestshouldbeutilized.d)Noneoftheabove.ANSWER:cTYPE:MCDIFFICULTY:EasyKEYWORDS:two-tailedtest14.Ifthep-valueislessthaninatwo-tailedtest,a)thenullhypothesisshouldnotberejected.b)thenullhypothesisshouldberejected.c)aone-tailedtestshouldbeused.d)noconclusionshouldbereached.ANSWER:bTYPE:MCDIFFICULTY:EasyKEYWORDS:p-value,levelofsignificance268FundamentalsofHypothesisTesting:One-SampleTestsCopyright©2010PearsonEducation,Inc.PublishingasPrenticeHall15.IfatestofhypothesishasaTypeIerrorprobability()of0.01,wemeana)ifthenullhypothesisistrue,wedon'trejectit1%ofthetime.b)ifthenullhypothesisistrue,werejectit1%ofthetime.c)ifthenullhypothesisisfalse,wedon'trejectit1%ofthetime.d)ifthenullhypothesisisfalse,werejectit1%ofthetime.ANSWER:bTYPE:MCDIFFICULTY:ModerateKEYWORDS:typeIerror,levelofsignificance16.IftheTypeIerror()foragiventestistobedecreased,thenforafixedsamplesizena)theTypeIIerror()willalsodecrease.b)theTypeIIerror()willincrease.c)thepowerofthetestwillincrease.d)aone-tailedtestmustbeutilized.ANSWER:bTYPE:MCDIFFICULTY:ModerateKEYWORDS:typeIerror,typeIIerror,samplesize17.Foragivensamplesizen,ifthelevelofsignificance()isdecreased,thepowerofthetesta)willincrease.b)willdecrease.c)willremainthesame.d)cannotbedetermined.ANSWER:bTYPE:MCDIFFICULTY:ModerateKEYWORDS:levelofsignificance,power,samplesize18.Foragivenlevelofsignificance(),ifthesamplesizenisincreased,theprobabilityofaTypeIIerror()a)willdecrease.b)willincrease.c)willremainthesame.d)cannotbedetermined.ANSWER:aTYPE:MCDIFFICULTY:ModerateKEYWORDS:levelofsignifican