When the null hypothesis is not rejected, it is
A) possible a Type I error has occurred.
B) possible a Type II error has occurred.
C) not possible a Type II error has occurred.
D) possible either a Type I or a Type II error has occurred.

Question

​When the null hypothesis is not rejected, it is​
A) possible a Type I error has occurred.
B) possible a Type II error has occurred.
C) not possible a Type II error has occurred.
D) ​possible either a Type I or a Type II error has occurred.

Quizplus · Accepted Answer

If the null hypothesis is not rejected, it means that there is not enough evidence to conclude that the alternative hypothesis is true. However, there is still a possibility that the alternative hypothesis is true and the null hypothesis is false. This means that a Type II error could have occurred, where we failed to reject a false null hypothesis. A Type I error, on the other hand, occurs when we reject a true null hypothesis, but this is not possible when the null hypothesis is not rejected.

​When the Null Hypothesis Is Not Rejected, It Is​

When the Null Hypothesis Is Not Rejected, It Is