If the test statistic does not fall in the critical region,we
A)reject the null hypothesis.
B)fail to reject the null hypothesis.
C)lower the alpha level and conduct a new test.
D)commit a Type I error.

Question

Quizplus · Accepted Answer

If the test statistic does not fall in the critical region, we fail to reject the null hypothesis. The critical region is the area in the tail(s) of the distribution(s) that corresponds to rejecting the null hypothesis at a specified significance level. If the test statistic falls outside the critical region, there is not enough evidence to reject the null hypothesis. Therefore, the correct choice is B. Lowering the alpha level and conducting a new test is not necessary since the original test resulted in a valid conclusion. Choosing A or D would be incorrect since rejecting the null hypothesis when it is actually true would lead to a Type I error.

If the Test Statistic Does Not Fall in the Critical