A random sample of 1007 adults in a certain large country was asked "Do you pretty much think televisions are a necessi
Posted: Wed May 11, 2022 6:56 pm
A random sample of 1007 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 1007 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).
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
is stated to not be
cannot be assumed to be
a simple random sample, the value of
nn
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
n ModifyingAbove p with caretnp
ModifyingAbove p with caretp
is
enter your response here,
which is
less than
greater than or equal to
10, and the
sample proportion
sample size
population proportion
population size
is stated to be
is stated to not be
can be assumed to be
cannot be assumed to be
less than or equal to 5% of the
sample size.
population proportion.
sample proportion.
population size.
(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.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
likely
not possible
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
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.)
country was asked "Do you pretty much think televisions are a
necessity or a luxury you could do without?" Of
the 1007 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).
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
is stated to not be
cannot be assumed to be
a simple random sample, the value of
nn
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
n ModifyingAbove p with caretnp
ModifyingAbove p with caretp
is
enter your response here,
which is
less than
greater than or equal to
10, and the
sample proportion
sample size
population proportion
population size
is stated to be
is stated to not be
can be assumed to be
cannot be assumed to be
less than or equal to 5% of the
sample size.
population proportion.
sample proportion.
population size.
(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.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
likely
not possible
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
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.)