A random sample of
10191019
adults in a certain large country was asked​ \"Do you pretty muchthink televisions are a necessity or a luxury you could do​without?\" Of the
10191019
adults​ surveyed,
522522
indicated that televisions are a luxury they could do without.Complete parts​ (a) through​ (e) below.Click here to view thestandard normal distribution table (page 1).
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Click here to view the standard normal distribution table (page2).
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​(a) Obtain a point estimate for the population proportion ofadults in the country who believe that televisions are a luxurythey could do without.
ModifyingAbove p with caretpequals=nothing
​(Round to three decimal places as​ needed.)
​(b) Verify that the requirements for constructing a confidenceinterval about p are satisfied.
The sample
â–¼
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
â–¼
n ModifyingAbove p with caretnp
n ModifyingAbove p with caret left parenthesis 1 minusModifyingAbove p with caret right parenthesisnp1−p
ModifyingAbove p with caret left parenthesis 1 minusModifyingAbove p with caret right parenthesisp1−p
nn
ModifyingAbove p with caretp
is
nothing​,
which is
â–¼
greater than or equal to
less than
​10, and the
â–¼
sample size
population proportion
sample proportion
population size
â–¼
is stated to not be
cannot be assumed to be
can be assumed to be
is stated to be
less than or equal to​ 5% of the
â–¼
sample size.
population size.
sample proportion.
population proportion.
​(Round to three decimal places as​ needed.)
​(c) Construct and interpret a
9595​%
confidence interval for the population proportion of adults inthe country who believe that televisions are a luxury they could dowithout. Select the correct choice below and fill in any answerboxes within your choice.
​(Type integers or decimals rounded to three decimal places asneeded. Use ascending​ order.)
A.We are
nothing​%
confident the proportion of adults in the country who believethat televisions are a luxury they could do without is between
nothing
and
nothing.
B.There is a
nothing​%
chance the proportion of adults in the country who believe thattelevisions are a luxury they could do without is between
nothing
and
nothing.
​(d) Is it possible that a supermajority​ (more than​ 60%) ofadults in the country believe that television is a luxury theycould do​ without? Is it​ likely?
It is
â–¼
possible, but not likely
not possible
likely
that a supermajority of adults in the country believe thattelevision is a luxury they could do without because the
9595​%
confidence interval
â–¼
does not contain
contains
nothing.
​(Type an integer or a decimal. Do not​ round.)
​(e) Use the results of part​ (c) to construct a
9595​%
confidence interval for the population proportion of adults inthe country who believe that televisions are a necessity.The
9595​%
confidence interval is
​(nothing​,nothing​).
​(Round to three decimal places as​ needed.)
Click to select your answer(s).
Please answer all
