Question

Suppose evidence is found to accept a null hypothesis. However, you ignore this evidence and reject the null hypothesis anyway. You have just made….

A. a correct decision

B. a new null hypothesis

C. a Type I Error

D. a Type II Error

Answer 1

Option C is the only correct option. The detailed solution is given below.

Here evidence is found to support null hypothesis but null hypothesis is rejected. So clearly this is not a correct decision. So option a is wrong.

For a particular testing problem null hypothesis is fixed so there is no question of getting a new null hypothesis. So option B is incorrect.

For a testing problem the error committed by rejecting the null hypothesis when it is actually true is called type-I error. Here this has happened so option C is correct.

Type-II error is accepting null hypothesis when it is wrong. But this is not the case here. Here null is correct but we are rejecting it . So option D is wrong.

Hope the solution helps. Thank you.