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Chapter 10 Hypothesis Tests for Proportions, Mean Differences and Proportion Differences
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Figure 10.1 The Sampling Distribution of the Sample Proportion
= p
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Figure 10.2 The “Null” Sampling Distribution
= = .024
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Figure 10.3 Setting a Boundary on the Null Sampling Distribution
REJECT H0 z zc = 1.65 a = .05
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Test Statistic for a (10.1) Sample Proportion
zstat =
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Figure 10.4 Showing the Sample Result on the Null Sampling Distribution
REJECT H0 = .11 z zc = 1.65 zstat = 2.08
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Figure 10.5 Identifying the Critical
z zc = 1.65 p = c = .099 REJECT H0
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Figure 10.6 Computing the p-value
.4812 z z = 2.08
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Figure 10.7 The Sampling Distribution of the Sample Mean Difference
m1 - m2 s =
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Figure 10.8 The “Null” Sampling Distribution
m1 - m2 = 0
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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
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Test Statistic (10.2) (s values are known)
zstat =
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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
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Estimated Standard Error of the (10
Estimated Standard Error of the (10.3) Sampling Distribution of Mean Differences (large samples) =
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Test Statistic for Large Samples, (10.4) s values unknown
zstat =
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Test Statistic for Small Samples, (10.5) s values unknown
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Pooling Sample (10.6) Standard Deviations
spooled =
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Estimated Standard Error of the (10
Estimated Standard Error of the (10.7) Sampling Distribution of the Sample Mean Difference (small samples) =
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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 = =
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Figure 10.11 The Sampling Distribution of the Sample Proportion Difference
p1 -p2 s =
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Figure 10.12 The “Null” Sampling Distribution
p1 -p2 = 0
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Figure 10.13 Setting the Boundary on the Null Sampling Distribution
p1 -p2 = 0 z zc = 2.33 REJECT H0 a = .01
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The Test Statistic (10.8) z stat
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Pooling the Sample Proportions (10.9)
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Estimated Standard Error (10.10) of the Null Sampling Distribution
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Figure 10.14 Showing zstat on the Null Sampling Distribution
p1-p2 = 0 REJECT H0 z zc = 2.33 zstat = .877
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Test Statistic for Matched (10.11) Samples Case
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Standard Deviation of the (10.12) Sample Mean Differences
sd =
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