A random sample of 1009 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?' Of the 1009 adults surveyed, 532 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without (Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample a simple random sample, the value of is . which is 10, and the V less than or equal to 5% of the (Round to three decimal places as needed.)
(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
A. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between and
B. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between and
(d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely? It is that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval (Type an integer or a decimal. Do not round.)
(e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity. Lower bound: upper bound: (Round to three decimal places as needed.)