AP Statistics -- Chapter 9 Testing a Claim Day Topics Objectives: Students will be able to: Homework I can correctly identify the parameter of interest for a hypothesis test. I can state correct hypotheses for a significance test about a population proportion or mean. I can interpret P-values in context. Reading: pp. 527-537 Strive: pp. 165-169 Textbook Problems: 2, 4, 5, 7, 9, 12, 14 I can interpret a Type I error and a Type II error in context, and give the consequences of each. I can understand the relationship between the significance level of a test, P(Type II error), and power. Reading: pp. 537-545 Textbook Problems: 15, 19, 21, 23, 25 I can check conditions for carrying out a test about a population proportion. I can recognize that if conditions are met, conduct a significance test about a population proportion. Reading: pp. 549-555 Strive: 170-172 Textbook Problems: 27–30, 41, 43, 45 I can use a confidence interval to draw a conclusion for a two-sided test about a population proportion. Reading: pp. 556-562 Textbook Problems: 47, 50, 52, 53, 55 I can check conditions for carrying out a test about a population mean. I can recognize, if conditions are met, conduct a one-sample t test about a population mean . I can use a confidence interval to draw a conclusion for a two-sided test about a population mean. Section 9.1 The Reasoning of Significance Tests Stating Hypotheses Interpreting P-values Statistical Significance 2 Section 9.1 Type I and Type II Errors Planning Studies: The Power of a Statistical Test Technology: Investigating Power with an Applet 3 Section 9.2 Carrying Out a Significance Test The One-Sample z Test for a Proportion Technology: OneProportion z Test on the Calculator 4 Section 9.2 Two-Sided Tests Why Confidence Intervals Give More Information Technology: Tests and Confidence Intervals using Minitab 5 Section 9.3 Carrying Out a Significance Test for The One Sample t Test Two-Sided Tests and Confidence Intervals Technology: Computing Pvalues from t Distributions on the Calculator, One Sample t Test on the Calculator 1 Reading: pp. 565-576 Strive: p. 173-175 Textbook Problems: 57–60, 64, 65, 68, 70 1 6 Section 9.3 Inference for Means: Paired Data Using Tests Wisely 7 8 Chapter 9 Review Chapter 9 Test I can recognize when a confidence interval is not needed for estimations. I can recognize paired data and use onesample t procedures to perform significance tests for such data. Summary of all ‘I can’ statements and concepts Reading: pp. 577-587 Textbook Problems: 71, 73, 75, 77, 89, 96 Strive: 176-183 Textbook Problems: 94, 95, 97, 99– 104 All HW problems should be finished prior to test; Strive Book Chapter 9 should be completed prior to test 2