cira
Uploaded by
28 SLIDES
424 VUES
280LIKES

Understanding Hypothesis Tests for Proportions and Mean Differences

DESCRIPTION

This chapter explores hypothesis tests for proportions and mean differences, using graphical representations such as sampling distributions and critical value boundaries. It provides detailed instructions on calculating test statistics for both large and small samples and highlights the importance of p-values in hypothesis testing. The chapter includes key figures demonstrating the null sampling distributions, decision rules for rejecting the null hypothesis, and the pooling of sample standard deviations. This comprehensive guide serves as a vital resource for understanding fundamental statistical concepts.

1 / 28

Télécharger la présentation

Understanding Hypothesis Tests for Proportions and Mean Differences

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 10 Hypothesis Tests for Proportions, Mean Differences and Proportion Differences

  2. Figure 10.1 The Sampling Distribution of the Sample Proportion  = p

  3.  = = .024 p = .06 Figure 10.2 The “Null” Sampling Distribution

  4. 0 zc = 1.65 z REJECT H0 p= .06 Figure 10.3 Setting a Boundary on the Null Sampling Distribution a= .05

  5. Test Statistic for a (10.1) Sample Proportion zstat =

  6. REJECT H0 p = .06 z 0 zc = 1.65 Figure 10.4 Showing the Sample Result on the Null Sampling Distribution = .11 zstat = 2.08

  7. REJECT H0 p = .06c = .099 z 0 zc = 1.65 Figure 10.5 Identifying the Critical

  8. p-value=.0188 .4812 p = .06 = .11 Figure 10.6 Computing the p-value z 0 z = 2.08

  9. s= m1 - m2 Figure 10.7 The Sampling Distribution of the Sample Mean Difference

  10. m1 - m2 = 0 Figure 10.8 The “Null” Sampling Distribution

  11. REJECT H0 REJECT H0 m1 - m2 = 0 z zcu= +1.96 zcl= -1.96 Figure 10.9 Setting Boundaries on the Null Sampling Distribution a/2 = .025 a/2 = .025 0

  12. Test Statistic (10.2) (s values are known) zstat=

  13. REJECT H0 REJECT H0 m1 - m2 = 0 z zcu= +1.96 zcl= -1.96 Figure 10.10 Showing zstaton the Null Sampling Distribution zstat= 2.51 0

  14. Estimated Standard Error of the (10.3)Sampling Distribution of Mean Differences (large samples) =

  15. Test Statistic for Large Samples, (10.4)s values unknown zstat =

  16. Test Statistic for Small Samples, (10.5)s values unknown tstat=

  17. Pooling Sample (10.6) Standard Deviations spooled =

  18. Estimated Standard Error of the (10.7) Sampling Distribution of the Sample Mean Difference (small samples) =

  19. Calculating tstat 1. Pool the sample standard deviations: 2. Estimate the standard error (standard deviation) of the sampling distribution: 3. Calculate the test statistic: tstat = Spooled= =

  20. s = p1 -p2 Figure 10.11 The Sampling Distribution of the Sample Proportion Difference

  21. p1 -p2 = 0 Figure 10.12 The “Null” Sampling Distribution

  22. REJECT H0 a = .01 p1 -p2 = 0 zc = 2.33 z 0 Figure 10.13 Setting the Boundary on the Null Sampling Distribution

  23. The Test Statistic (10.8) z stat

  24. Pooling the Sample Proportions (10.9)

  25. Estimated Standard Error (10.10) of the Null Sampling Distribution

  26. REJECT H0 zstat = .877 p1-p2 = 0 z 0 zc = 2.33 Figure 10.14 Showingzstaton the Null Sampling Distribution

  27. Test Statistic for Matched (10.11) Samples Case tstat=

  28. Standard Deviation of the (10.12) Sample Mean Differences sd =

More Related