According to an Adweek/ Harris (July 2011) poll of U.S. adults, 35% do not work during their summer vacation. Assume that the true proportion of all U.S. adults that do not work during summer vacation is p = .35. Now consider a random sample of 500 U.S. adults.
a. What is the probability that between 50% and 60% of the sampled adults do not work during summer vacation?
b. What is the probability that over 40% of the sampled adults do not work during summer vacation?