If a two-sided null hypothesis is rejected for a single mean at a given significance level,the corresponding one-sided null hypothesis (i.e. ,the same sample size,the same standard deviation,and the same mean)will ______________ be rejected at the same significance level.
A)Always
B)Sometimes
C)Never

Question

Quizplus · Accepted Answer

When a two-sided null hypothesis is rejected for a single mean at a given significance level, at least one of the one-sided null hypotheses (i.e., the null hypothesis that the mean is equal to or less than the hypothesized mean, or the null hypothesis that the mean is equal to or greater than the hypothesized mean) will also be rejected at the same significance level. Therefore, the answer is always.

If a Two-Sided Null Hypothesis Is Rejected for a Single