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Suppose that based on two independent samples, the 95% confidence interval for the difference between two...

Suppose that based on two independent samples, the 95% confidence interval for the difference between two population proportions, p1−p2 is (-0.29, -0.01). If a test of hypotheses H0: p1−p2 = 0 versus Ha: p1−p2 ≠ 0 was conducted at 0.05 level of significance based on these samples, the decision would be to ..

retain the null hypothesis?

reject the null hypothesis?

math   Statistics-And-Probability   
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Answer #1

We have 95% confidence interval for difference in population proportion ( -0.29 , -0.01) .

We test Ho : p1 - p2 = 0 Vs Ha : p1 - p2 0

The confidence interval does not contain 0 so we reject the null hypothesis

Decision : reject the null hypothesis

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