Given that in a one-tail 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 null hypothesis is rejected if the sample statistic falls in either tail of the distribution. Since a one-tailed test only looks at one tail, it is possible that the sample statistic could fall in the other tail and lead to rejection of the null hypothesis in a two-tailed test. However, if the null hypothesis cannot be rejected in a one-tailed test, it cannot be rejected in a two-tailed test at the same significance level because the threshold for rejecting the null hypothesis (the alpha level) is lower in a one-tailed test compared to a two-tailed test. Therefore, the answer is B: No.

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

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