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In a survey of 220 220 childless married couples who were asked if they plan to...

In a survey of 220 220 childless married couples who were asked if they plan to have children in the next 5 5 years, 14% 14% of the men and 10% 10% of the women responded "Yes". Based on this survey, can it be concluded that there is a difference in the proportion of men ( p1 ) and women (p2 ) responding "Yes"? Use a significance level of α=0.02 for the test.

State the null and alternative hypotheses for the test. Compute the weighted estimate of p, -p. Round to three decimal places Test Statistic Decision Rule Decision

Math   Statistics-And-Probability   
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Answer #1

The statistical software output for this problem is:

From above output:

Step - 1: Hypotheses:

H0 : p1 - p2 = 0
HA : p1 - p2 ≠ 0

Step - 2: p = (30.8 + 22)/(220 + 220) = 0.120

Step - 3: Test statistic = 1.291

Step - 4: Reject Ho if |z| > 2.326

Step - 5: Fail to reject null hypothesis

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