For the following hypothesis test where H₀: ? ? 10 vs.H_a: ? 10,we reject H₀ at level of significance $\alpha$ 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 E)Decreased the power of the test

Question

For the following hypothesis test where H₀: ? ? 10 vs.H_a: ? > 10,we reject H₀ at level of significance $\alpha$ 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 E)Decreased the power of the test

Quizplus · Accepted Answer

Rejecting the null hypothesis when it is actually true is a definition of a Type I error. In this scenario, the null hypothesis that the true mean is 10 or less is rejected in favor of the alternative that it is greater than 10, even though the true mean is actually 8.

For the Following Hypothesis Test Where H0: ? ? 10 α\alphaα

For the Following Hypothesis Test Where H₀: ? ? 10 $\alpha$