If a two-sided hypothesis test for a population mean yields a p-value of 0.0651,then what is the smallest level of significance at which the null hypothesis in a corresponding one-sided hypothesis test can be rejected?
A)10%
B)5%
C)2.5%
D)1%
E)0.1%

Question

Quizplus · Accepted Answer

In a one-sided hypothesis test, the null hypothesis will be rejected only if the sample mean falls within a specific range of values. For example, if we are testing if the population mean is greater than a certain value, the null hypothesis will be rejected only if the sample mean is sufficiently large. This means that in a one-sided hypothesis test, the p-value will be half of the p-value in a two-sided hypothesis test. Since the p-value for the two-sided test is 0.0651, the p-value for the one-sided test will be 0.03255. Therefore, we can reject the null hypothesis in a one-sided test at a significance level of 5% or lower, which is the smallest level of significance given as a choice.

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