Question

Suppose​ that, in a hypothesis​ test, the null hypothesis is in fact true. a. Is it possible to make a Type I​ error? Explain your answer. b. Is it possible to make a Type II​ error? Explain your answer.

Answer 1

a. Yes

b. No

Explanation:

In a hypothesis​ test, the null hypothesis is in fact true.

a. Is it possible to make a Type I​ error?

Yes, it is possible to make a type I error because a type I error typically occurs if the null is rejected when it is actually true.

b. Is it possible to make a Type II​ error?

It is not possible to make a type II error because the condition for a type II error is that the null is in fact not true but we fail to reject it.