You are interested in determining whether an experimental birth control pill has the side effects of changing blood pressure. You plan to randomly sample 18 women from the city in which you live. You give half of them a placebo for a month and then measure their diastolic blood pressure. Then you switch them to the birth control pill for a month and again measure their blood pressure. The other 9 women receive the same treatment except they are given the birth control pill first for a month, followed by the placebo for a month. The blood pressure readings are shown here. What is the power of your study to reject the null assuming that the alternative? Assume alpha = 0.05 non-directional alternative hypothesis.

1. State the null hypothesis (1 point).
2. State the alternative hypothesis (1 point).
3. What set of results obtained would allow you to reject the null hypothesis (2 points)?
4. What is the power to detect a false null hypothesis assuming Preal=0.9? Put your work and answer below (3 points).
5. What is the probability of failing to reject the null if the null is false assuming Preal =0.9? Put your work and answer below (1 point).
6. What is the power to detect a false null hypothesis assuming Preal=0.7? Put your work and answer below (3 points).