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H-SC MATH 121 - Lecture 33 - Hypothesis Testing Mean

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Homework ReviewIntroductionHypothesis Testing for the MeanThe HypothesesThe Level of SignificanceThe Test StatisticThe Value of the Test StatisticThe p-ValueThe DecisionThe ConclusionAnother ExampleAssignmentHypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentHypothesis Testing for MeansLecture 33Sections 10.1-10.2Robb T. KoetherHampden-Sydney CollegeWed, Oct 29, 2008HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentOutline1Homework Review2Introduction3Hypothesis Testing for the MeanThe HypothesesThe Level of SignificanceThe Test StatisticThe Value of the Test StatisticThe p-ValueThe DecisionThe Conclusion4Another Example5AssignmentHypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentHomework ReviewExercise 9.25, page 595.A new method for detecting a type of cancer has beendeveloped.Among 80 adults who have this type of cancer, thismethod failed to detect the cancer in five of the adults.Provide a 92% confidence interval estimate for thefailure rate for this method.HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentHomework ReviewSolutionThe sample proportion (point estimate) for the failurerate isˆp =580= 0.0625.For a 92% C.I., α = 0.08, so α/2 = 0.04.The coefficient is z0.04= invNorm(0.04) = −1.751.So, the confidence interval isˆp ± z0.04rˆp(1 −ˆp)n= 0.0625 ± 1.751r(0.0625)(0.9375)80= 0.625 ± (1.751)(0.0271)= 0.0625 ± 0.0474.HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentHomework ReviewSolutionOr you could use the TI-83 function 1-PropZInt.Enterx = 5.n = 80.C-Level = 0.92.The calculator reports the interval (.01512,.10988).HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentIntroductionWe now ask the two basic questions, this time aboutthe mean.Is a given hypothesis concerning µ true?What is the value of µ?In most ways, Chapter 10 will be like Chapter 9.In one way, it will be very different.HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentThe Seven Steps of Hypothesis Testing1State the null and alternative hypotheses.2State the significance level.3State for formula for the test statistic.4Compute the value of the test statistic.5Compute the p-value.6State the decision.7State the conclusion.HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentThe Seven Steps of Hypothesis Testing1State the null and alternative hypotheses.2State the significance level.3State for formula for the test statistic.4Compute the value of the test statistic.5Compute the p-value.6State the decision.7State the conclusion.HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentThe Seven Steps of Hypothesis Testing1State the null and alternative hypotheses.2State the significance level.3State for formula for the test statistic.4Compute the value of the test statistic.5Compute the p-value.6State the decision.7State the conclusion.HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentThe Seven Steps of Hypothesis Testing1State the null and alternative hypotheses.2State the significance level.3State for formula for the test statistic.4Compute the value of the test statistic.5Compute the p-value.6State the decision.7State the conclusion.HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentThe Seven Steps of Hypothesis Testing1State the null and alternative hypotheses.2State the significance level.3State for formula for the test statistic.4Compute the value of the test statistic.5Compute the p-value.6State the decision.7State the conclusion.HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentThe Seven Steps of Hypothesis Testing1State the null and alternative hypotheses.2State the significance level.3State for formula for the test statistic.4Compute the value of the test statistic.5Compute the p-value.6State the decision.7State the conclusion.HypothesisTesting forMeansRobb T.KoetherHomeworkReviewIntroductionHypothesisTesting for theMeanThe HypothesesThe Level ofSignificanceThe Test StatisticThe Value of the TestStatisticThe p-ValueThe DecisionThe ConclusionAnotherExampleAssignmentThe Seven Steps of Hypothesis Testing1State the null and alternative hypotheses.2State the significance level.3State for formula for the test statistic.4Compute the value of the test statistic.5Compute the p-value.6State the decision.7State the conclusion.HypothesisTesting


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H-SC MATH 121 - Lecture 33 - Hypothesis Testing Mean

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