For the following hypothesis test where H₀: µ $\le$ 10 vs.H_a: µ 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

Question

For the following hypothesis test where H₀: µ $\le$ 10 vs.H_a: µ > 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

Quizplus · Accepted Answer

We have rejected the null hypothesis when it is actually true. This is a Type I error.

For the Following Hypothesis Test Where H0: µ ≤\le≤ 10 VsHa: µ > 10,we Reject H0 at Level of Significance

For the Following Hypothesis Test Where H₀: µ $\le$ 10 VsH_a: µ > 10,we Reject H₀ at Level of Significance