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 14.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 14.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

Since we rejected the null hypothesis (that the mean is less than or equal to 10) in favor of the alternative hypothesis (that the mean is greater than 10) when the true mean is indeed greater than 10 (14 in this case), we have made a correct decision.

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

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