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 a 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 a correct decision. D) increased the power of the test.

Quizplus · Accepted Answer

We have rejected the null hypothesis that μ ≤ 10 and concluded that the true mean is greater than 10. However, we know that the true mean is actually 8, which means we have made a Type I error.

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

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