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You may need to use the appropriate appendix table or technology to answer this question. A center for education statistics reported that 41% of college students work to pay for tuition and living expenses. Assume that a sample of 460 college students was used in the study. (a) Provide a 95% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (Round your answers to four decimal places.)          ( ) to ( ) (b) Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (Round your answers to four decimal places.) ( ) to ( ) (c) What happens to the margin of error as the confidence is increased from 95% to 99%? 1. The margin of error becomes smaller. 2. The margin of error remains the same.     3. The margin of error becomes larger.

You may need to use the appropriate appendix table or technology to answer this question. A center for education statistics reported that 41% of college students work to pay for tuition and living expenses. Assume that a sample of 460 college students was used in the study. (a) Provide a 95% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (Round your answers to four decimal places.)          ( ) to ( ) (b) Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (Round your answers to four decimal places.) ( ) to ( ) (c) What happens to the margin of error as the confidence is increased from 95% to 99%? 1. The margin of error becomes smaller. 2. The margin of error remains the same.     3. The margin of error becomes larger.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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You may need to use the appropriate appendix table or technology to answer this question.
A center for education statistics reported that 41% of college students work to pay for tuition and living expenses. Assume that a sample of 460 college students was used in the study.
(a)
Provide a 95% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (Round your answers to four decimal places.)
         ( ) to ( )
(b)
Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (Round your answers to four decimal places.)
( ) to ( )
(c)
What happens to the margin of error as the confidence is increased from 95% to 99%?
1. The margin of error becomes smaller.
2. The margin of error remains the same.    
3. The margin of error becomes larger.
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