Suppose we wish to test H₀: μ ≤ 47 versus H₁: μ 47. What will result if we conclude that the mean is greater than 47 when its true value is really 52?
A) We have made a Type I error.
B) We have made a Type II error.
C) We have made a correct decision.
D) None of the above are correct.

Question

Suppose we wish to test H₀: μ ≤ 47 versus H₁: μ > 47. What will result if we conclude that the mean is greater than 47 when its true value is really 52?
A) We have made a Type I error.
B) We have made a Type II error.
C) We have made a correct decision.
D) None of the above are correct.

Quizplus · Accepted Answer

We have made a correct decision because the true mean (52) is indeed greater than 47, which aligns with the alternative hypothesis H₁: μ > 47.

Suppose We Wish to Test H₀: μ ≤ 47 Versus