Question

A CI for μ using X with confidence level 1−α contains the point μ if and only if the hypothesis test with null value μ produces a p-value that is ... (e)

Answer 1

A confidence interval for μ using X with confidence level 1-α contains the point μ if and only if the hypothesis test with null value μ produces a p-value that is greater than α.

Step-by-step explanation:

A confidence interval for μ using X with confidence level 1-α contains the point μ if and only if the hypothesis test with null value μ produces a p-value that is greater than α. This means that if the p-value is less than or equal to α, we reject the null hypothesis and conclude there is sufficient evidence to support the alternative hypothesis.