For the following hypothesis test, where H₀: μ ≤ 10; vs. H_A: μ 10, we reject H₀ at level of significance α and conclude that the true mean is greater than 10, when the true mean is really 8. Based on this information, we can state that we have A) made a Type I error. B) made a Type II error. C) made the correct decision. D) increased the power of the test.

Question

For the following hypothesis test, where H₀: μ ≤ 10; vs. H_A: μ > 10, we reject H₀ at level of significance α and conclude that the true mean is greater than 10, when the true mean is really 8. Based on this information, we can state that we have A) made a Type I error. B) made a Type II error. C) made the correct decision. D) increased the power of the test.

Quizplus · Accepted Answer

You reject the null hypothesis when you should not have; you have committed a Type I error.

For the Following Hypothesis Test, Where H0: μ ≤ 10;

For the Following Hypothesis Test, Where H₀: μ ≤ 10;