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

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

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

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

Test Statistic for a (10.1) Sample Proportion zstat =

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

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

Figure 10.6 Computing the p-value .4812 z z = 2.08

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

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

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

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

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

Estimated Standard Error of the (10 Estimated Standard Error of the (10.3) Sampling Distribution of Mean Differences (large samples) =

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

Test Statistic for Small Samples, (10.5) s values unknown

Pooling Sample (10.6) Standard Deviations spooled =

Estimated Standard Error of the (10 Estimated Standard Error of the (10.7) Sampling Distribution of the Sample Mean Difference (small samples) =

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 = =

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

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

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

The Test Statistic (10.8) z stat

Pooling the Sample Proportions (10.9)

Estimated Standard Error (10.10) of the Null Sampling Distribution

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

Test Statistic for Matched (10.11) Samples Case

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