If the null hypothesis in a one-sided hypothesis test for a population mean is rejected at the 5% level of significance,then the null hypothesis in the corresponding hypothesis two-sided test is guaranteed to be rejected at the ____ level of significance.
A)10%
B)5%
C)2.5%
D)1%
E)0.1%

Question

Quizplus · Accepted Answer

In a one-sided test, the rejection region is entirely in one tail, while in a two-sided test, it is split between two tails. If the null hypothesis is rejected at the 5% level in a one-sided test, it implies that the test statistic falls in the extreme 5% of one tail. For a two-sided test, this corresponds to a 10% level of significance, as the 5% rejection region would be split into 2.5% in each tail.

If the Null Hypothesis in a One-Sided Hypothesis Test for a Population