Given that in a one-tailed test you cannot reject H0,can you reject H0 in a two-tailed test at the same α?
A)Yes.
B)No.
C)Maybe.

Question

Quizplus · Accepted Answer

In a two-tailed test, the rejection region is split into two tails, so the critical value for rejection is spread across both tails. Therefore, the critical value is more stringent in a two-tailed test than in a one-tailed test, making it harder to reject the null hypothesis. Since you cannot reject H0 in a one-tailed test, you cannot reject H0 in a two-tailed test at the same alpha level (assuming the same sample size and standard deviation).

Given That in a One-Tailed Test You Cannot Reject H0,can