(d) A 95% confidence interval for (P240K - P<40K) is (-0.02, 0.16).
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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question on letter D.
![6.20
year and 55% of those who make $40,000 or more per year said the government shutdown has pet per
affected them personally. A 95% confidence interval for (p<40K – P>40K), where p is the proportion of t1 au
who said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on thi
information, determine if the following statements are true or false, and explain your reasoning if you jdentic
the statement as false.24
(a) At the 5% significance level, the data provide convincing evidence of a real difference in the proDortion
who are not affected personally between Americans who make less than $40,000 annually and Americane
who make $40,000 annually.
(b) We are 95% confident that 16% more to 2% fewer Americans who make less than $40,000 per vear are
not at all personally affected by the government shutdown compared to those who make $40,000 or more
per year.
(c) A 90% confidence interval for (p<40K – p>40K) would be wider than the (-0.16,0.02) interval.
(d) A 95% confidence interval for (P240K - p<40K) is (-0.02, 0.16).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1f52df6-d4fe-47be-9c12-407eeae17736%2F436d12e7-8540-4ca8-a01e-6983d11c5dc8%2F0ig5owi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.20
year and 55% of those who make $40,000 or more per year said the government shutdown has pet per
affected them personally. A 95% confidence interval for (p<40K – P>40K), where p is the proportion of t1 au
who said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on thi
information, determine if the following statements are true or false, and explain your reasoning if you jdentic
the statement as false.24
(a) At the 5% significance level, the data provide convincing evidence of a real difference in the proDortion
who are not affected personally between Americans who make less than $40,000 annually and Americane
who make $40,000 annually.
(b) We are 95% confident that 16% more to 2% fewer Americans who make less than $40,000 per vear are
not at all personally affected by the government shutdown compared to those who make $40,000 or more
per year.
(c) A 90% confidence interval for (p<40K – p>40K) would be wider than the (-0.16,0.02) interval.
(d) A 95% confidence interval for (P240K - p<40K) is (-0.02, 0.16).
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