If the null hypothesis in a two-sided hypothesis test for a population mean cannot be rejected at the 10% level of significance,then it is still possible that the null hypothesis in the corresponding one-sided hypothesis test could 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 two-sided test, the significance level is split between the two tails of the distribution. If the null hypothesis cannot be rejected at the 10% level for a two-sided test, it means the p-value is greater than 0.10. However, for a one-sided test, the entire 10% significance level is in one tail, so it is possible to reject the null hypothesis at the 10% level in a one-sided test.

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