2. A drug company has introduced a new treatment for the flu. The current leading brand's treatment cures the flu in 80% of patients. In a random sample of 200 people, the new treatment cured the flu in 166 people. a. Find the 99% confidence interval for the true proportion of patients cured of the flu for the new treatment. b. Interpret the confidence interval in the words of the problem. c. Find the margin of error. d. Does this data and analysis provide evidence so that the company can claim its new treatment is superior to the leading brand at the 99% confidence level? Justify