Homework ReviewIntroductionThe p-Value ApproachThe Hypothesis Testing ProcedureExampleThe HypothesesThe Significance LevelThe Test StatisticThe Value of the Test StatisticThe p-ValueThe DecisionThe ConclusionAssignmentHypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentHypothesis Testing for ProportionsLecture 29Sections 9.1 - 9.2Robb T. KoetherHampden-Sydney CollegeTue, Oct 20, 2009HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentOutline1Homework Review2Introduction3The p-Value Approach4The Hypothesis Testing Procedure5ExampleThe HypothesesThe Significance LevelThe Test StatisticThe Value of the Test StatisticThe p-ValueThe DecisionThe Conclusion6AssignmentHypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentOutline1Homework Review2Introduction3The p-Value Approach4The Hypothesis Testing Procedure5ExampleThe HypothesesThe Significance LevelThe Test StatisticThe Value of the Test StatisticThe p-ValueThe DecisionThe Conclusion6AssignmentHypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentHomework ReviewExercise 8.24, page 552.Suppose that for a population, the response variable Xhas a N(−1, 2) distribution.(a) Draw the distribution of X. Clearly indicate in yourdrawing the mean and the standard deviation.(b) Suppose that a simple random sample of size n = 100is selected from this population. Let X represent thesample mean response.(i) What is the distribution of X for a simple random sampleof size n = 100? Give all relevant features of thedistribution.(ii) Draw the distribution of X. Clearly indicate in yourdrawing the model, the mean, and the standarddeviation.(iii) Calculate P (X > −0.9). Show all steps used to get youranswer.HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentHomework ReviewSolution24. (a) The graph of N(−1, 2):-6-4-2240.050.100.150.20HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentHomework ReviewSolution24. (b) (i) The CLT says thatµx= µ = −1andσx=σ√n=2√100= 0.2.So the distribution of x is N(−1, 0.2).HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentHomework ReviewSolution24. (b) (i) The distribution of x:-1.4-1.2-1.0-0.8-0.6-0.40.51.01.52.0HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentHomework ReviewSolution24. (b) (iii) To calculate P (X > −0.9), use the normalcdf function.normalcdf(-0.9,E99,-1,0.2) = 0.3085.HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentOutline1Homework Review2Introduction3The p-Value Approach4The Hypothesis Testing Procedure5ExampleThe HypothesesThe Significance LevelThe Test StatisticThe Value of the Test StatisticThe p-ValueThe DecisionThe Conclusion6AssignmentHypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentIntroductionAny question about a population must first be stated interms of a population parameter.We will work with only two parameters:The population mean µ.The population proportion p.HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentIntroductionThere are only two basic questions that we ask:What is the value of the parameter? (Estimation)Does the evidence support or refute a claim about thevalue of the parameter? (Hypothesis testing)HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentExampleIf we want to learn about the effectiveness of a new drug...What parameter do we use?Do we estimate the parameter?Or do we test a hypothesis?HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentExampleIf we want to find out whether a newborn child is more likelyto be male than female...What parameter do we use?Do we estimate the parameter?Or do we test a hypothesis?HypothesisTesting forProportionsRobb T.KoetherHomeworkReviewIntroductionThe p-ValueApproachTheHypothesisTestingProcedureExampleThe HypothesesThe SignificanceLevelThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAssignmentOutline1Homework Review2Introduction3The p-Value Approach4The
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