Question

Which of the following is NOT a principle of making inferences from dependent​ samples? Choose the correct answer below. A. The hypothesis test and confidence interval are equivalent in the sense that they result in the same conclusion. B. The​ t-distribution serves as a reasonably good approximation for inferences from dependent samples. C. There is some relationship whereby each value in one sample is paired with a corresponding value in the other sample. D. Testing the null hypothesis that the mean difference equals 0 is not equivalent to determining whether the confidence interval includes 0.

Answer 1

D. Testing the null hypothesis that the mean difference equals 0 is not equivalent to determining whether the confidence interval includes 0

Explanation:

Dependent samples are samples that are related to one another.

In a hypothesis test, the hypothesis test and the confidence interval are equivalent in the sense that they result in the same conclusion.

However, in an hypothesis test , we fail to reject the null hypothesis if the rejection region is greater than the t-test statistics. It is therefore crucial to understand that if the true mean is zero. the confidence interval level for the mean of differences within the lower limit and the upper limits must contain zero , which implies the mean difference and the confidence interval are equivalent.