If a one-sided hypothesis test for a population mean yields a p-value of 0.023,then what is the smallest level of significance at which the null hypothesis in the corresponding two-sided hypothesis test can be rejected?
A)10%
B)5%
C)2.5%
D)1%
E)0.1%

Question

Quizplus · Accepted Answer

Since the one-sided test has a p-value of 0.023, the corresponding two-sided test would have a p-value of 0.046. If we want to reject the null hypothesis in the two-sided test, the significance level must be less than 0.046. The only option that satisfies this condition is 5%, or choice B.

If a One-Sided Hypothesis Test for a Population Mean Yields