A random sample of 1014 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 1014 adults surveyed, 534 indicated that televisions are a luxwithout. 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).p= 0.527(Round to three decimal places as needed.)(b) Verify that the requirements for constructing a confidence interval about p are satisfied.*****The sample can be assumed to be a simple random sample, the value of np (1-p) is 252.761, which is greater than or equal to 10, and thesample proportion.(Round to three decimal places as needed.)sample sizeandis stated to not beless than or equal(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 bcchoice.(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)OA. There is a% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is betweenwithout is between. andbelieve that televisions are a luxury they couldOB. We are% confident the proportion of adults in the country(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 isthat 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.)