Please show the work for each question

5(20 points) You are interested in a new treatment for inflammation, as measured by C-reactive protein (hs- CRP). You enroll 7 people in your study, then flip a coin for each person. If they get a "heads", you give them placebo for a month, measure their bs-CRP, wait a second month, and give them your new drug during the third month and measure hs-CRP again. If they get a "tails", you give them your new drug for a month, measure their hs-CRP, wait a second month, and give them your placebo during the third month and measure bs-CRP again. You are interested in whether your drug has any effect on hs-CRP, on average. The data are: -CRP on placebo -CRP on new drug Person 1 3.1 3.0 Person 2 1.2 0.3 Person 3 1.0 0.6 Person 4 1.4 1.3 Person 5 2.3 2.1 Person 6 5.9 5.1 Person 7 0.6 0.3 a. What are the null and alternative hypotheses? b. In words specific to this context, what would be a type I error? (Please don't just give us a general definition, we want you to be specific and apply it to this particular study) C. What kind of test would you use to decide if the drug had a statistically significant effect on CRP, on average? What are the assumptions behind this test? d. Conduct an appropriate test and get a p-value. Write a one sentence conclusion based on the results of the test