10.7 Learning Objectives Revisited

Learning Objectives

As a result of completing this chapter, you will be able to do the following:

  • Explain why the sample proportion [latex]\hat{p} = \frac{x}{n}[/latex] is a special type of sample mean [latex]\bar{x} = \frac{\sum x_i}{n}[/latex] (Section 10.1).
  • Describe the sampling distribution of the sample proportion [latex]\hat{p}[/latex] (Section 10.2).
  • Conduct a one-proportion z-test (Section 10.5).
  • Obtain a [latex](1 - \alpha) \times 100%[/latex] confidence interval for the population proportion [latex]p[/latex] (Section 10.3).
  • Describe the sampling distribution of the difference between two sample proportions [latex](\hat{p}_1 - \hat{p}_2)[/latex] (Section 10.6).
  • Conduct a two-proportion z-test (Section 10.6).
  • Obtain a confidence interval for the difference between two population proportions [latex](p_1 - p_2)[/latex] (Section 10.6).

License

Icon for the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Introduction to Applied Statistics Copyright © 2024 by Wanhua Su is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.