Assume that a hypothesis test of the given claim will be con

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test.

The principal of a school claims that the percentage of students at his school that come from single- parent homes is 11%. Identify the type II error for the test.

A. Fail to reject the claim that the percentage of students that come from single- parent homes is equal to 11% when that percentage is actually different from 11%.

B. Reject the claim that the percentage of students that come from single- parent homes is equal to 11% when that percentage is actually 11%.

C. Fail to reject the claim that the percentage of students that come from single- parent homes is equal to 11% when that percentage is actually 11%.

D. Reject the claim that the percentage of students that come from single- parent homes is equal to 11% when that percentage is actually less than 11%.

Solution

(A) is correct because type II error = failure to reject false null