A random sample of 1002 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 1002 adults​ surveyed, 514 indicated that televisions are a luxury they could do without. Complete the question.   ​(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=nothing ​(Round to three decimal places as​ needed.)   ​(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 ▼   n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisnp1−p ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisp1−p nn n ModifyingAbove p with caretnp ModifyingAbove p with caretp is nothing​, which is ▼   less than greater than or equal to ​10, and the ▼   sample proportion sample size population proportion population size ▼   is stated to be cannot be assumed to be can be assumed to be is stated to not be less than or equal to​ 5% of the ▼   population size. sample size. population proportion. sample proportion. ​(Round to three decimal places as​ needed.)   ​(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 nothing​% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing.   B. There is a nothing​% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between nothing and nothing.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A random sample of
1002
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
1002
adults​ surveyed,
514
indicated that televisions are a luxury they could do without. Complete the question.
 
​(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=nothing
​(Round to three decimal places as​ needed.)
 
​(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
 
n ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisnp1−p
ModifyingAbove p with caret left parenthesis 1 minus ModifyingAbove p with caret right parenthesisp1−p
nn
n ModifyingAbove p with caretnp
ModifyingAbove p with caretp
is
nothing​,
which is
 
less than
greater than or equal to
​10, and the
 
sample proportion
sample size
population proportion
population size
 
is stated to be
cannot be assumed to be
can be assumed to be
is stated to not be
less than or equal to​ 5% of the
 
population size.
sample size.
population proportion.
sample proportion.
​(Round to three decimal places as​ needed.)
 
​(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
nothing​%
confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between
nothing
and
nothing.
 
B.
There is a
nothing​%
probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between
nothing
and
nothing.
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