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Chapter 10

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  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 =