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# Connecting to Confidence Intervals

APSTAT-WERNRJ

Suppose a one-sided (greater than) hypothesis test for a population mean results in a $p$-value of $p = 0.04$.

If the same data were used to construct a $90\%$ confidence interval, would the value from the null hypothesis of our significance test be contained in the confidence interval?

A

No. The upper bound of the confidence interval will be less than the value from the null hypothesis.

B

No. The lower bound of the confidence interval will be greater than the value from the null hypothesis.

C

Yes. The value from the null hypothesis will be right in the middle of the confidence interval.

D

Yes, since $90\%$ or $0.90$ is greater than $0.04$.

E

There is not enough information given to be able to answer this question.