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 32 miles per gallon. Identify the type I error for the test.
A) 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 less than 32 miles per gallon.
C) 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.
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 context, rejecting the claim that the mean mileage is equal to 32 miles per gallon (the null hypothesis) when it is indeed 32 miles per gallon constitutes a Type I error.

Assume That a Hypothesis Test of the Given Claim Will