Does it make sense to report a confidence interval if the primary goal is to perform...

Does it make sense to report a confidence interval if the primary goal is to perform a hypothesis test? Why or why not?

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Expert Solution

It makes sense to report a confidence interval if the primary goal is to perform a hypothesis test because confidence interval provides more information including the hypothesis test. Hypothesistesting is a binary decision: whether torejectthe null hypothesis or fail to reject the null hypothesis. Confidence interval provides a range of values in which the true unknown population parameter lies. From the confidence interval, we can always deduce the information required by hypothesis test.

Thus, since confidence interval covers the outcomes of hypothesis testing, it makes sense to report a confidence interval if the primary goal is to perform a hypothesis test

orchestra answered 1 year ago

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