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 between the upper and lower tails, while in a one-tailed test, it is in only one tail. Since we cannot reject the null hypothesis in a one-tailed test, there is no reason to reject it in a two-tailed test because the rejection region is larger. Therefore, the answer is no, we cannot reject H₀ in a two-tailed test at the same α.

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

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