A random sample of 1015 adults in a certain large country was asked​ "Do you pretty much think televisions are a necessi

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answerhappygod
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A random sample of 1015 adults in a certain large country was asked​ "Do you pretty much think televisions are a necessi

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A random sample of 1015 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 1015 adults​ surveyed, 529 indicated
that televisions are a luxury they could do without. Complete
parts​ (a) through​ (e) below.
Question content area bottom
Part 1
​(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=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
can be assumed to be
is stated to be
cannot be assumed to be
is stated to not be
a simple random​ sample, the value of
nn
ModifyingAbove p with caretp
n ModifyingAbove p with caretnp
ModifyingAbove p with caret left parenthesis 1 minus
ModifyingAbove p with caret right parenthesisp1−p
n ModifyingAbove p with caret left parenthesis 1 minus
ModifyingAbove p with caret right parenthesisnp1−p
is
enter your response here​,
which is

less than
greater than or equal to
​10, and the

sample size
population size
population proportion
sample proportion

cannot be assumed to be
is stated to not be
can be assumed to be
is stated to be
less than or equal to​ 5% of the

population size.
population proportion.
sample size.
sample proportion.
​(Round to three decimal places as​ needed.)
Part 3
​(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.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.
B.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.
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

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
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
95​%
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.)
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