A sample survey asks a nationwide random sample of 2500 adults if they agree or disagree that “I like buying new clothes, but shopping is often frustrating and time-consuming.” Suppose that 60% of all adults would agree if asked this question.

a) What is the population mean of all possible sample proportions?

b) What is the standard error of all possible sample proportions?

c) What is the probability that the sample proportion who agrees is at least 58%?

d) Please fill-in the blanks: 95% of the samples proportions symmetrically around the population proportion will have between ________% and ________% of the customers agree they like buying new clothes but shopping is often frustrating and time consuming.