Suppose we wish to test H ₀: m = 45 vs. H ₁: m 45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50? A)We have made a Type I error. B)We have made a Type II error. C)We have made both a Type I error and a Type II error. D)We have made the correct decision.

Question

Suppose we wish to test H ₀: m = 45 vs. H ₁: m > 45. What will result if we conclude that the mean is greater than 45 when the actual mean is 50? A)We have made a Type I error. B)We have made a Type II error. C)We have made both a Type I error and a Type II error. D)We have made the correct decision.

Quizplus · Accepted Answer

Concluding that the mean is greater than 45 when the actual mean is indeed greater (50 in this case) means we have made the correct decision, not an error. A Type I error involves rejecting a true null hypothesis, while a Type II error involves failing to reject a false null hypothesis.

Suppose We Wish to Test H 0: M = 45

Suppose We Wish to Test H ₀: M = 45