If the null hypothesis is not rejected with a .05 significance level, then we know that.
A)there is a statistically significant difference
B)the alpha level is greater than .05
C)a non-directional test was used
D)the observed value of the test statistic did not fall into the rejection region

Question

Quizplus · Accepted Answer

If the null hypothesis is not rejected with a .05 significance level, it means that the observed value of the test statistic did not fall into the rejection region. This rejection region is determined by the alpha level, which in this case is .05. Therefore, we cannot conclude that there is a statistically significant difference, and we do not have any information about the directionality of the test.

If the Null Hypothesis Is Not Rejected with a