Cyber Monday Shopping A survey of 850 U.S. adults found that 32% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 99% confidence interval of the true proportion. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places. ☐
Cyber Monday Shopping A survey of 850 U.S. adults found that 32% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 99% confidence interval of the true proportion. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places. ☐
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Cyber Monday Shopping A survey of 850 U.S. adults found that 32% of
people said that they would get no work done on Cyber Monday since they
would spend all day shopping online. Find the 99% confidence interval of the
true proportion. Round intermediate answers to at least five decimal places.
Round your final answers to at least three decimal places.
☐<p<0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd74823-85a4-4e17-8104-3bda7cea3b95%2Fed7a0be1-846b-4e8d-b49a-5c25aff7a7ac%2Fx0v8vz7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Cyber Monday Shopping A survey of 850 U.S. adults found that 32% of
people said that they would get no work done on Cyber Monday since they
would spend all day shopping online. Find the 99% confidence interval of the
true proportion. Round intermediate answers to at least five decimal places.
Round your final answers to at least three decimal places.
☐<p<0
![decimal places. Round your final answers to at
least three decimal places.
Explanation
Formula for a Specific Confidence Interval
for a Proportion
A
P-²a/2 · <p<p +²α/²\/
pa
pq
n
n
when n p and nq are each greater than or
equal to 5.
Since a 1-0.9=0.1, ²a/2 = 1.65.
Find p and q.
p = 0.32
q=1-p=1-0.32
= 0.68
Calculate the confidence interval.
7-2222-²2-124
pq
pa
P-²a/2
<p<p +²a/2
n
n
(0.32) (0.68)
(0.32) (0.68)
0.32 1.65
<p<0.32+ 1.65
900
900
0.32 0.02566<p<0.32+0.02566
0.294<p<0.346
Hence, we can be 90% confident that the
proportion of U.S. adults who would not get work
done on Cyber Monday is between 0.294 and 0.346,
based on a sample of 900 adults.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd74823-85a4-4e17-8104-3bda7cea3b95%2Fed7a0be1-846b-4e8d-b49a-5c25aff7a7ac%2Fsiqyh2l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:decimal places. Round your final answers to at
least three decimal places.
Explanation
Formula for a Specific Confidence Interval
for a Proportion
A
P-²a/2 · <p<p +²α/²\/
pa
pq
n
n
when n p and nq are each greater than or
equal to 5.
Since a 1-0.9=0.1, ²a/2 = 1.65.
Find p and q.
p = 0.32
q=1-p=1-0.32
= 0.68
Calculate the confidence interval.
7-2222-²2-124
pq
pa
P-²a/2
<p<p +²a/2
n
n
(0.32) (0.68)
(0.32) (0.68)
0.32 1.65
<p<0.32+ 1.65
900
900
0.32 0.02566<p<0.32+0.02566
0.294<p<0.346
Hence, we can be 90% confident that the
proportion of U.S. adults who would not get work
done on Cyber Monday is between 0.294 and 0.346,
based on a sample of 900 adults.
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