A recent study by the Government Accountability Office found that consumers got correct answers about Medicare only 67 percent of the time when they called 1-800-MEDICARE. (a) At α = .05, would a...

A recent study by the Government Accountability Office found that consumers got correct answers about Medicare only 67 percent of the time when they called 1-800-MEDICARE. (a) At α = .05, would a subsequent audit of 50 randomly chosen calls with 40 correct answers suffice to show that the percentage had risen? What is the p-value? (b) Is the normality criterion met? (See The New York Times, November 7, 2006.)