Sample surveys sow that fewer people enjoy shopping than in the past. A recent survey asked a nationwide random sample of 2500 adults if they agreed or disagreed with the statement, "I like buying new clothes, but shopping is frustrating and time-consuming." In this survey, 1520 agreed. Suppose that in fact 60% of all adults U,S, Residents would say "agree" if asked the same questions.

(a) What is the sample proportion of the U.S. adults who agreed with the statement?

(b) if, in fact, the proportion of all U.S. Adults who would agree with the statement is 0.60, what is the probability that the proportion in a random sample of 2500 adults is as far from 0.60- above or below- as the results of this survey? Check that the necessary conditions are met before calculating this probability