A random sample of 1017 adults in a certain large country was asked"Do you pretty much think televisions are a necessity or a luxury you could dowithout?" Of the 1017 adultssurveyed, 528 indicated that televisions are a luxury they could do without. Complete parts(a) through(e) below.

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(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.

p=

nothing

(Round to three decimal places asneeded.)

(b) Verify that the requirements for constructing a confidence interval about p are satisfied.

The sample

is stated to be

is stated to not be

can be assumed to be

cannot be assumed to be

a simple randomsample, the value of

n

n

n ModifyingAbove p with caret

n

p

ModifyingAbove p with caret

p

ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesis

p1

p

n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesis

n

p1

p

is

nothing

, which is

greater than or equal to

less than

10, and the

sample proportion

population proportion

population size

sample size

is stated to be

is stated to not be

can be assumed to be

cannot be assumed to be

less than or equal to5% of the

population proportion.

sample proportion.

sample size.

population size.

(Round to three decimal places asneeded.)

(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 ascendingorder.)

A.

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

.

B.

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

.

(d) Is it possible that a supermajority(more than60%) of adults in the country believe that television is a luxury they could dowithout? Is itlikely?

It is

possible, but not likely

not possible

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 notround.)

(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.

Lowerbound:

nothing

, Upperbound:

nothing

(Round to three decimal places asneeded.)

nothing