A random sample of 1003 adult Americans was asked,“Do you pretty much think televisions are a necessity or a luxury you could do without?”Of the 1003 adults surveyed,521 indicated that televisions are a luxury they could do without.

(a) Obtain a point estimate for the population proportion of adult Americans who believe that televisions are a luxury they could do without.

(b) Verify that the requirements for constructing a confidence interval about p are satisfied.

(c) Construct and interpret a 95% confidence interval for the population proportion of adult Americans who believe that televisions are a luxury they could do without.

(d) Is it possible that a supermajority (more than 60%) of adult Americans believe that television is a luxury they could do without? Is it likely?

(e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adult Americans who believe that televisions are a necessity.