In 1990, the average math SAT score for students at one school was 500. Five years later, a teacher wants to perform a hypothesis test to determine whether the average SAT score of students at the school has changed from the 1990 mean of 500. The hypotheses are:

H₀: μ = 500

H_a: μ ≠ 500

Suppose that the result of leads to failing to reject 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 1990 mean of 500.

(7.1)

Type II error

Correct decision

Type I error