Problem 4. In 2009 (about twelve years ago) clinical trials were conducted for a new vaccine to protect against the HIV virus. There were more than 16,000 volunteers who were randomly assigned to...

Extracted text: Problem 4. In 2009 (about twelve years ago) clinical trials were conducted for a new vaccine to protect against the HIV virus. There were more than 16,000 volunteers who were randomly assigned to receive either a placebo or the new vaccine. New infections occurred in 51 of the 8,197 individuals given the vaccine. New infections occurred in 74 of the 8,198 who received dummy shots. You are asked to test the hypothesis that the new HIV vaccine is statistically significantly more effective than the placebo at a 95% significance level. The 2009 Journal paper published with these results is available in Canvas.