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## Chapter 10

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**Chapter 10**Hypothesis Tests for Proportions, Mean Differences and Proportion Differences**Figure 10.1 The Sampling Distribution of**the Sample Proportion = p** =**= .024 p = .06 Figure 10.2 The “Null” Sampling Distribution**0**zc = 1.65 z REJECT H0 p= .06 Figure 10.3 Setting a Boundary on the Null Sampling Distribution a= .05**Test Statistic for a (10.1)**Sample Proportion zstat =**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**REJECT H0**p = .06c = .099 z 0 zc = 1.65 Figure 10.5 Identifying the Critical**p-value=.0188**.4812 p = .06 = .11 Figure 10.6 Computing the p-value z 0 z = 2.08**s=**m1 - m2 Figure 10.7 The Sampling Distribution of the Sample Mean Difference**m1 - m2 = 0**Figure 10.8 The “Null” Sampling Distribution**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**Test Statistic (10.2) (s**values are known) zstat=**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**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**tstat=**Pooling Sample (10.6) Standard**Deviations spooled =**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= =**s**= p1 -p2 Figure 10.11 The Sampling Distribution of the Sample Proportion Difference**p1 -p2 = 0**Figure 10.12 The “Null” Sampling Distribution**REJECT H0**a = .01 p1 -p2 = 0 zc = 2.33 z 0 Figure 10.13 Setting the Boundary on the Null Sampling Distribution**The Test Statistic (10.8)**z stat**Estimated Standard Error (10.10)**of the Null Sampling Distribution**REJECT H0**zstat = .877 p1-p2 = 0 z 0 zc = 2.33 Figure 10.14 Showingzstaton the Null Sampling Distribution**Test Statistic for Matched (10.11)**Samples Case tstat=**Standard Deviation of the (10.12) Sample**Mean Differences sd =