Question

A random sample of 1005 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 1005 adults surveyed, 524 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 nothing (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample ▼ cannot be assumed to be can be assumed to be is stated to not be is stated to be a simple random sample, the value of ▼ n ModifyingAbove p with caret ModifyingAbove p with caret n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesis n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesis is nothing, which is ▼ less than greater than or equal to 10, and the ▼ sample size population size population proportion sample proportion ▼ is stated to not be is stated to be cannot be assumed to be can be assumed to be less than or equal to 5% of the ▼ population size. sample size. population proportion. 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% chance 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 possible, but not likely 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. The 95% confidence interval is ( nothing, nothing). (Round to three decimal places as needed.)

Answer #1

a)

point estimate for the population proportion=0.521

b)

The sample can be can be assumed to be simple random sample, the value of nphat (1-phat) which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to 5% of the population size

c)

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 0.490 and 0.552

d)

because the 95% confidence interval does not contain 0.60.

e)

. The 95% confidence interval is 0.448 ; 0.510

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