Question

Provide the Type I and Type II errors.

Claim: The proportion of car crashes occurring less than a mile from home is .23.

Answer 1

We know that the type I error is the probability of rejecting null hypothesis when it is true.

The type II error is the probability of do not rejecting null hypothesis when it is not true.

For the given context of test, we have

Type I error:

When we reject the null hypothesis that the proportion of car crashes occurring less than a mile from home is .23, in fact it is 0.23; then type I error occurred.

Type II error

When we do not reject the null hypothesis that the proportion of car crashes occurring less than a mile from home is .23, in fact it is not 0.23; then type II error occurred.