Hypothesis_Testing-One_Population

Hypothesis_Testing-One_Population

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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

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