Question

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type Il error for 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. O A. Reject the claim that the mean is less than 32 miles per gallon when it is actually 32 miles per O B. Fail to reject the claim that the mean is less than 32 miles per gallon when it is actually greater OC. Reject the claim that the mean is less than 32 miles per gallon when it is actually less than 32 O D. Fail to reject the claim that the mean is less than 32 miles per gallon when it is actually less than gallon. than 32 miles per gallon. miles per gallon. 32 miles per gallon.

Answer A or C?

Answer 1

Here the null and alternative hypothesis are

Null hypothesis H_{​​​​​0} : Mean is grater than equal to 32 miles per gallon

Alternative hypothesis is H_{​​​​​​1}​​​: Mean is less than 32 miles per gallon

The type I error is Reject null hypothesis when null hypothesis is true

So the type I error is "Fail to reject the claim that the mean is less than 32 miles per gallon when it is actually greater than 32 miles per gallon"

So option B is correct