Question

Classify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. In 1991, the average math SAT score for students at one school was 465. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1991 mean of 465. The hypotheses are: H0: μ-465 H1: μ # 465 Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the average math SAT score of students at the school has changed from the 1991 mean of 465.

A. Type II error
B. Correct decision
C. Type I error

Answer 1

B. Correct decision

Explanation:

We know that the average math SAT score of students at the school has changed from the 1991 mean of 465. That is μ≠465.

This hypothesis was tested and the null hypothesis, that states that the average math SAT score of students at the school has not changed from the 1991 mean, was rejected.

Then, the conclusion of rejecting the null hypothesis is right, as μ=465 is false.