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

Quizplus · Accepted Answer

When the null hypothesis is rejected, it means that we have evidence to believe that the alternative hypothesis is true. However, there is still a possibility that we have made a Type I error, which means that we rejected the null hypothesis even though it was actually true. This is why it is important to choose a level of significance before conducting a hypothesis test, to minimize the risk of making a Type I error.

​When the Null Hypothesis Is Rejected, It Is​

When the Null Hypothesis Is Rejected, It Is