Multiple choice problems - Type I and Type II error.
For the following hypothesis test where H_{0}: m £10 vs. H_{a}: m >10, we reject H_{0} at level of significance a and conclude that the true mean is greater than 10 while the true mean is really 8. Based on this information we can state that we have:
i) Made a Type I error
ii) made a Type II error
iii) Made a correct decision
iv) Increased the power of the test