Question

A random sample of 1028 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 1028 adults​ surveyed, 528 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).LOADING... Click here to view the standard normal distribution table (page 2).LOADING... ​(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. ModifyingAbove p with caretequals . 514 ​(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 ModifyingAbove p with caret is . 514​, which is less than ​10, and the ▼ ▼ less than or equal to​ 5% of the ▼ sample size. population proportion. population size. sample proportion. ​(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 nothing​% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing. B. We are nothing​% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing. ​(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 ▼ not possible likely 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 contains nothing. ​(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: nothing​, Upper​ bound: nothing ​(Round to three decimal places as​ needed.)

Answer 1

a.

Point estimate of population proportion:

b.

Can you please provide this statement, with options properly.

Condition required to construct cnfidence interval is,

np = 528 > 10

and n(1-p) =500 >10

c.

95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without it is:

d.

It is not possible that a supermajority of adults in thecountry believe that  television is a luxury they could do without because the 95​% confidence interval does not contain contains the value 0.60

e.

95​% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity.