Assume that a hypothesis test to support the given claim will be conducted. Identify the type I or type II error for the test.
-A consumer advocacy group claims that the mean mileage for the Carter Motor Company's new sedan is less than 32 miles per gallon. Identify the type I error for the test.
A) Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per gallon.
B) Fail to reject the claim that the mean is equal to 32 miles per gallon when it is actually greater than 32 miles per gallon.
C) Reject the claim that the mean is equal to 32 miles per gallon when it is actually less than 32 miles per gallon.
D) Reject the claim that the mean is equal to 32 miles per gallon when it is actually 32 miles per gallon.

Question

Quizplus · Accepted Answer

A Type I error occurs when the null hypothesis is rejected when it is actually true. In this case, rejecting the claim that the mean is equal to 32 miles per gallon when it is actually 32 miles per gallon is a Type I error.

Assume That a Hypothesis Test to Support the Given Claim