When you use R to perform any analyses to answer questions in the Exam, please providethe R output (statistical output or graphs) as a part of your answer. If not explicitly indicated in the problem, assume significance level (?) of 0.05

5 [Total: 5 pts] A newly developed drug has a potential to provide an aggressive cancer treatment at a cheaper price but it has strong side effects that may impact the patients' quality of life while they are on the treatment. A pharmaceutical team designs a clinical trial to investigate whether the new drug is more effective against cancer compared to the currently available drug on the market, which has mild side effects. a) [2 pts] In this study, which type of error (type | or type Il) should be more strictly controlled (i.e., should be minimized)? Explain your answer. b) [2 pts] How does minimizing the error type stated in a) impact the statistical power? Explain your answer. c) [1 pt] As a statistical consultant, what would be your recommendation to the pharmaceutical company regarding the design of the clinical trial such that the error type stated in a) as well as the statistical power are optimized