Question

The p-value for a two-sided hypothesis test is 0.04 for the null hypothesis Ho: μ = 15. Does the 95% confidence interval associated with the test include the value 15?

YES, NO, OR UNABLE TO DETERMINE?

Answer 1

When you perform a hypothesis test in statistics, a p-value helps you determine the significance of your results. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis. Here in our case p value is 0.04 that means less than 0.05 , we reject the null hypothesis.

and when you construct the 95% confidence interval , it doesn’t include value 15.