Which of the following statements best describes the level of significance?
A)The smaller the level of significance, the larger the rejection region, so therefore the tighter the test.
B)The larger the level of significance, the smaller the rejection region, so therefore the tighter the test.
C)The smaller the level of significance, the smaller the rejection region, so therefore the tighter the test.
D)None of these choices are correct

Question

Quizplus · Accepted Answer

The level of significance is the probability of rejecting the null hypothesis when it is actually true. The smaller the level of significance, the smaller the probability of making a Type I error (rejecting the null hypothesis when it is actually true), so the rejection region is smaller. This means that the test is "tighter," or more conservative in accepting the null hypothesis. Therefore, statement C is correct.

Which of the Following Statements Best Describes the Level of Significance