A "social experiment" conducted by a TV program questioned what people do when they see a very obviously bruised woman getting picked on by her boyfriend. On two different occasions at the same restaurant, the same couple was depicted. In one scenario the woman was dressed provocatively'' and in the other scenario the woman was dressedconservatively' '. The table below shows how many restaurant diners were present under each scenario, and whether or not they intervened. Scenario Provocative Conservative Total Intervene Yes 5 15 20 No 15 10 25 Total 20 25 45 1 a) Explain why the sampling distribution of the difference between the proportions of interventions under provocative and conservative scenarios does not follow an approximately normal distribution. (2pts) b) Under the assumption that the data represent a random sample of adults in the United States, assess the evidence for whether the proportions of interventions under provocative and conservative scenarios differ from each other at the 5% significance level. (4pts)