Identify the type I error and the type II error that corresp

Identify the type I error and the type II error that correspond to the given hypothesis.

The percentage of households with more than 1 pet is = to 65 %.

Identify the type I error. Choose the correct answer below.

A. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually different from 65 %.

B. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually different from 65 %.

C. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when the percentage is actually equal to 65 %.

D. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually equal to 65 %.

Identify the type II error. Choose the correct answer below.

A. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when the percentage is actually equal to 65 %.

B. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when the percentage is actually equal to 65 %.

C. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually different from 65 %.

D. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually different from 65 %.

Solution

Type I error is:

D. Reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually equal to 65 %.

Type II error is:

D. Fail to reject the null hypothesis that the percentage of households with more than 1 pet is equal to 65 % when that percentage is actually different from 65 %.