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 which is actually true. This is a Type I error as we have incorrectly rejected a true null hypothesis.

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

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