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.)
A random sample of 1015 adults in a certain large country was asked "Do you pretty much think televisions are a necessi
-
answerhappygod
- Site Admin
- Posts: 899604
- Joined: Mon Aug 02, 2021 8:13 am
A random sample of 1015 adults in a certain large country was asked "Do you pretty much think televisions are a necessi
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!