A random sample of 1012 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 1012 adults surveyed, 514 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below.
(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.
enter your response here
(Round to three decimal places as needed.)
Part 2
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
The sample
▼
is stated to be
can be assumed to be
cannot be assumed to be
is stated to not be
a simple random sample, the value of
▼
n
ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesis
ModifyingAbove p with caret
n ModifyingAbove p with caret
n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesis
is
enter your response here, which is
▼
greater than or equal to
less than
10, and the
▼
population proportion
sample proportion
population size
sample size
▼
cannot be assumed to be
can be assumed to be
is stated to not be
is stated to be
less than or equal to 5% of the
▼
population proportion.
sample size.
sample proportion.
population size.
(Round to three decimal places as needed.)
Part 3
(c) Construct and interpret a % 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
enter your response here% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between
enter your response here and
enter your response here.
B.
We are
enter your response here% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between
enter your response here and
enter your response here.
Part 4
(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
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
enter your response here.
(Type an integer or a decimal. Do not round.)
Part 5
(e) Use the results of part (c) to construct a % confidence interval for the population proportion of adults in the country who believe that televisions are a necessity.
Lower bound:
enter your response here, Upper bound:
enter your response here
(Round to three decimal places as needed.)
