For given problem, give a 95% confidence interval for the difference in proportion of theaters nationwide where one movie will be preferred over the other. Is the point 0 contained in the interval? Discuss.
Problem
Two movies were screen-tested at two different samples of theaters. Mystic River was viewed at 80 theaters and was considered a success in terms of box office sales in 60 of these theaters. Swimming Pool was viewed at a random sample of 100 theaters and was considered a success in 65. Based on these data, do you believe that one of these movies was a greater success than the other? Explain.