Assume that a hypothesis test to reject the given claim will be conducted. Identify the type I or type II error for the test.
-A manufacturer claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation of 3.3 mg. Identify the type II error for the test.
A) Reject the claim that the standard deviation is 3.3 mg when it is actually equal to 3.3 mg.
B) Fail to reject the claim that the standard deviation is 3.3 mg when the standard deviation is actually equal to 3.3 mg.
C) Reject the claim that the standard deviation is 3.3 mg when it is actually different from 3.3 mg.
D) Fail to reject the claim that the standard deviation is 3.3 mg when the standard deviation is actually different from 3.3 mg.

Question

Quizplus · Accepted Answer

A type II error occurs when we fail to reject a false null hypothesis. In this context, it means failing to reject the claim that the standard deviation is 3.3 mg when it is actually different from 3.3 mg.

Assume That a Hypothesis Test to Reject the Given Claim