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1、CHAPTER2:HYPOTHESISTESTINGOBJECTIVESnUnderstandthedefinitionsusedinhypothesistestingnStatethenullandalternativehypothesisnFindcriticalvaluesfortheztestnStatethefivestepsusedinhypothesistestingnHypothesistestingforonemeanpopulationandproportion.nHypothesistestingforthedifferenceofmeanfortwoindepend
2、entpopulations.nHypothesistestingforthemeanoftwodependentorpairedpopulations.nHypothesistestingforthedifferencebetweentwopopulationproportions.2.1INTRODUCTIONnStatisticalhypothesistestingisadecision-makingprocessforevaluatingclaimsaboutapopulation.nThepurposeofhypothesistestingistodeterminewhether
3、enoughstatisticalevidenceexiststoenableustoconcludethatabelieforhypothesisaboutaparameterissupportedbythedata.21nExamples:·Istherestatisticalevidenceinarandomsampleofpotentialcustomers,whichsupportthehypothesisthatmorethan10%ofthepotentialcustomerswillpurchaseanewproduct?·Isanewdrugeffectiveincuri
4、ngacertaindisease?Asampleofpatientsisrandomlyselected.Halfofthemaregiventhedrugwhiletheotherhalfaregivenaplacebo.Theimprovementinthepatient’sconditionsisthenmeasuredandcompared.nConceptsofHypothesisTesting1.Therearetwohypothesisa)nullhypothesisb)alternativehypothesis2.Thetestingproceduresbeginswit
5、htheassumptionthatthenullhypothesisistrue3.Thegoaloftheprocessistodeterminewhetherthereisenoughevidencetoinferthatthealternativehypothesisistrue214.Therearetwopossibledecisions:a)Rejectthenullhypothesis–concludethatthereisenoughevidencetosupportthealternativehypothesis.b)Donotrejectthenullhypothes
6、is–concludethatthereisnotenoughevidencetosupportthealternativehypothesis.5.Twopossibleerrorscanbemadeinanytest.a)TypeIerrorb)TypeIIerrornStepsUsedinHypothesisTesting1.Statethehypothesisandidentifytheclaim2.Findthecriticalvaluefromappropriatetable(zortdistribution)3.Computetheteststatistics4.Maketh
7、edecisiontorejectornotrejectthenullhypothesis5.Conclusion21nStatementofaHypothesis·Astatisticalhypothesisisaconjectureaboutapopulationparameterwhichmayormaynotbetrue.·Therearetwotypesofstatisticalhypothesesforeac