Please provide steps I a When a null hypothesis is rejected

I. (a) When a null hypothesis is rejected, there is risk of committing which type of error? (b) When a null hypothesis is not rejected, there is risk of committing which type of error?

Solution

1.

a) Type I error. A type I error can only occur if we Reject Ho.

b) Type II error. A type II error can only occur if we fail to Reject Ho.

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2.

Note that a type I error is incorrectly rejecting a true null hypothesis, and a type II error is incorrectly failing to reject a false null hypothesis.

Thus,

a) TRUE.

b) TRUE, by definition of level of significance.

c) FALSE. This is a type I error.