Assume that a hypothesis test of 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 21 miles per gallon. Identify the type I error for the test.

A) Fail to reject the claim that the mean is equal to 21 miles per gallon when it is actually greater than 21 miles per gallon.
B) Reject the claim that the mean is equal to 21 miles per gallon when it is actually 21 miles per gallon.
C) Fail to reject the claim that the mean is equal to 21 miles per gallon when it is actually less than 21 miles per gallon.
D) Reject the claim that the mean is equal to 21 miles per gallon when it is actually less than 21 miles per gallon.

Question

Assume that a hypothesis test of 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 21 miles per gallon. Identify the type I error for the test.

A) Fail to reject the claim that the mean is equal to 21 miles per gallon when it is actually greater than 21 miles per gallon.
B) Reject the claim that the mean is equal to 21 miles per gallon when it is actually 21 miles per gallon.
C) Fail to reject the claim that the mean is equal to 21 miles per gallon when it is actually less than 21 miles per gallon.
D) Reject the claim that the mean is equal to 21 miles per gallon when it is actually less than 21 miles per gallon.

Quizplus · Accepted Answer

A Type I error occurs when we reject a true null hypothesis. In this case, it means rejecting the claim that the mean is equal to 21 miles per gallon when it is actually true.

Assume That a Hypothesis Test of the Given Claim Will