Question

For which of the following levels of significance is the risk of making a Type II error greatest?

A. 0.10
B. 0.05
C. 0.01
D. 0.001

Answer 1

The risk of making a Type II error is greatest when the level of significance is the smallest.

Step-by-step explanation:

In hypothesis testing, the level of significance is the probability of a Type I error, which is the probability of rejecting the null hypothesis when it is true. The risk of making a Type II error is denoted as β and is the probability of failing to reject the null hypothesis when it is false.

When the level of significance increases, the risk of making a Type II error decreases. Therefore, the risk of making a Type II error is greatest when the level of significance is the smallest. Among the given options, the smallest level of significance is 0.001 (option D), thus making the risk of making a Type II error greatest for this level of significance.