The drug AZT was the first drug that seemed effective in delaying the onset of AIDS. Evidence for AZT’s effectiveness came from a large randomized comparative experiment. The subjects were 13,000 volunteers who were infected with HIV, the virus that causes AIDS, but did not yet have AIDS. The study assigned 435 of the subjects at random to take 500 milligrams of AZT each day, and another 435 to take a placebo. At the end of the study, 38 of the placebo subjects and 17 of the AZT subjects had developed AIDS We want to test the claim that taking AZT lowers the proportion of infected people who will develop AIDS during a given time period. a.) State the parameter, type of test used, null hypothesis, alternative, and make sure the condition are met. b.) Construct and interpret a 96% confidence interval for the data. c.) Is there significant evidence at 2% level? Explain. d.) Describe Type I Error and Type II Error in context to the problems. Which is the most serious?