A random sample of 1008 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 1008 adults surveyed, 519 indicated that televisions are a luxury they could do without Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). to the cal practs as out./ (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample is stated to be a simple random sample, the value of np (1-p) is 251.773, which is greater than or equal to 10, and the can be assumed to be less than or equal to 5% of the population size. (Round to three decimal places as needed) sample size (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) and 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 B. We are 95% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 484 and 546 (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 possible, but not likely that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval does not contain 6 (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)