Which of the following statements is (are) not true?
A)The probability of making a Type II error increases as the probability of making a Type I error decreases.
B)The probability of making a Type II error and the level of significance are the same.
C)The power of the test decreases as the level of significance decreases.
D)None of the above statements are true.

Question

Quizplus · Accepted Answer

The probability of making a Type II error and the level of significance are not the same. The level of significance, denoted by alpha, represents the probability of making a Type I error. The probability of making a Type II error, denoted by beta, depends on factors such as the size of the effect being tested, the sample size, and the variability of the data. As alpha decreases, the probability of making a Type I error decreases, but this does not necessarily lead to an increase in the probability of making a Type II error. The power of the test is the complement of the probability of making a Type II error, and it increases as alpha decreases (i.e., as the level of significance becomes more stringent).

Which of the Following Statements Is (Are) Not True