Assume that a hypothesis test to support the given claim will be conducted. Identify the type I or type II error for the test.
-The principal of a middle school claims that the standard deviation of the test scores of the seventh-graders at his school is less than 14.7. Identify the type I error for the test.
A) Reject the claim that the standard deviation is equal to 14.7 when it is actually 14.7.
B) Fail to reject the claim that the standard deviation is equal to 14.7 when it is actually greater than 14.7.
C) Reject the claim that the standard deviation is equal to 14.7 when it is actually less than 14.7.
D) Fail to reject the claim that the standard deviation is equal to 14.7 when it is actually less than 14.7.

Question

Quizplus · Accepted Answer

A Type I error occurs when we reject the null hypothesis when it is actually true. In this case, the null hypothesis is that the standard deviation is equal to 14.7.

Assume That a Hypothesis Test to Support the Given Claim