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6. [1 point] Suppose you were testing the hypotheses H0: μ = 0 and Ha: μ...

6. [1 point] Suppose you were testing the hypotheses H0: μ = 0 and Ha: μ is not equal to 0 in a paired design and obtain a p-value of 0.02. Also suppose you computed confidence intervals for μ. Based on the p-value which of the following are true?

a. Both a 95% CI and a 99% CI will contain 0.

b. A 95% CI will contain 0, but a 99% CI will not.

c. A 95% CI will not contain 0, but a 99% CI will.

d. Neither a 95% CI nor a 99% CI interval will contain 0.

Math   Statistics-And-Probability   
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Answer #1

Option C) A 95% CI will not contain 0, but a 99% CI will. is the answer.

When we take 95% CI then level of significance is 0.05 so p < hence we need to reject null hypothesis. So, 0 is not a part of CI.

When we take 99% CI then level of significance is 0.01 so p > hence we fail to reject null hypothesis. So, 0 is part of CI.

Please comment if any doubt. Thank you.

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