5. (20 Points) A study conducted at the Massachusetts Medical School indicates that heart attack patients given beta blockers have a far lower in-hospital fatality rate than those patients not given beta blockers. The in hospital fatality rate of 879 heart attack patients using beta blockers was 9% compared to 27% of 1809 patients who did not use beta blockers. a. (5 Points) Suppose that you want to test the hypothesis that there is no difference in the fatality rate between heart attack patients who do and do not use beta blockers against the alternative that there is a difference with a level of significance of 0.01. State the hypothesis test that you would use. b. (5 Points) Now test your hypothesis of part a. c. (10 Points) Explain what the specific impact of committing a Type I error would be in this particular situation and then explain what the specific impact of committing a type II error would be in this situation.