And in the case where 0 0 show that using this approach on

And in the case where ?₀ = 0, show that using this approach on a sample of differences from a paired experiment is equivalent to the sign test.

Solution

When the confidence interval includes zero, then we understand that the null hypothesis is true. If it does\'nt inclue 0, then we fail to accept the null hypothesis.

When the differences are 0, then e are going to test for the mean, which will be equivalent to the sign test.