Should professional athletes be tested for drugs? Reporting on this question, the Orlando Sentinel noted that Donald Fehr, executive director of the Major League Baseball Player's Association, "criticized mandatory testing as being unnecessary." The public does not seem to agree. A Washington Post - ABC News survey found that 73% of 1506 people interviewed favored drug tests for professional athletes; 68% agreed that professional athletes discovered to be using drugs should be banned or suspended from professional sports on the first offense.
a) Find a 95% confidence interval for the percentage of the public that favors drug tests for professional athletes.
b) Upon what assumptions is your confidence interval in part a) based?