Assume that a hypothesis test to reject 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) Reject the claim that the percentage of students that come from single-parent homes is equal to 11% when that percentage is actually 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 less than 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 different from 11%.
D) 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%.

Question

Quizplus · Accepted Answer

A type II error occurs when we fail to reject the null hypothesis when it is actually false. In this case, it means failing to reject the claim that the percentage is 11% when it is actually different from 11%.

Assume That a Hypothesis Test to Reject the Given Claim