AP Statistics – Chapter 8 Estimating With Confidence Day 1 2 Topics Section 8.1 The Idea of a Confidence Interval, Parameters & Statistics Point Estimators/Point Estimates Interpreting: Margin of Error, confidence intervals, & confidence levels Section 8.1 Interpreting Confidence Levels and Confidence Intervals, Constructing a Confidence Interval, Using Confidence Intervals Wisely Objectives: Students will be able to: 3 Section 8.2 Conditions for Estimating p, Constructing a Confidence Interval for p 4 Section 8.2 Putting It All Together: The Four-Step Process, Choosing the Sample Size, Technology: Confidence Intervals for p on the Calculator Homework I can identify a point estimator to help estimate an unknown parameter. I can correctly interpret the meaning of the margin of error in context. I can understand that a confidence interval gives a range of plausible values for the parameter. Reading: pp. 467-478 Strive: p. 148-150 Textbook problems: 1, 2, 5, 11, 16 I can interpret a confidence level in context. I can interpret a confidence interval in context. I can understand why each of the three inference conditions—Random, Normal, and Independent—is important. I can understand how confidence level or sample size will affect the margin of error. Textbook problems: 13, 17, 19, 20 I can construct and interpret a confidence interval for a population proportion. I can determine critical values for calculating a confidence interval using a table or your calculator. I can explain how practical issues like nonresponse, under coverage, and response bias can affect the interpretation of a confidence interval. Reading: pp. 478-481 Textbook problems: 27, 28, 31, 32, 33 I can carry out the steps in constructing a confidence interval for a population proportion: define the parameter; check conditions; perform calculations; interpret results in context. I can determine the sample size required to obtain a level C confidence interval for a population proportion with a specified margin of error. I can understand how the margin of error of a confidence interval changes with the sample size and the level of confidence C. Reading: pp. 484-495 Strive: pp. 151-153 Textbook Problems: 35, 37, 41, 43, 48 1 5 Section 8.3 When Is Known: The One-Sample z Interval for a Population Mean, When Is Unknown: The t Distributions, Constructing a Confidence Interval for , Technology: Inverse t on the Calculator 6 Section 8.3 Using t Procedures Wisely, Technology: Confidence Intervals for on the Calculator 7 Chapter 8 Review 8 9 Chapter 8 Review Chapter 8 Test HW is due! I can construct and interpret a confidence interval for a population mean. I can determine the sample size required to obtain a level C confidence interval for a population mean with a specified margin of error. I can carry out the steps in constructing a confidence interval for a population mean: define the parameter; check conditions; perform calculations; interpret results in context. Reading: p. 499-511 Strive: pp. 154-156 Textbook Problems: 55, 57, 59, 63 I can understand why each of the three inference conditions—Random, Normal, and Independent—is important. Reading: p. 511-517 Textbook Problems: 65, 67, 71, 73, 74 I can determine sample statistics from a confidence interval. Textbook Problems: 49–52, 75-78 Summary of all ‘I can’ statements and concepts Strive: pp. 157-164 Textbook Problems: 3, 21–24 All HW problems should be finished prior to test; Strive Book Chapter 8 should be completed prior to test 2 3