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The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses. Assume that a sample of 450 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. (to 2 decimals) (0.4239 0.5161 b. Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (to 2 decimals) 0.4093 0.5307 ) c. What happens to the margin of error as the confidence is increased from 95% to 99%? The margin of error becomes larger

The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses. Assume that a sample of 450 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. (to 2 decimals) (0.4239 0.5161 b. Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (to 2 decimals) 0.4093 0.5307 ) c. What happens to the margin of error as the confidence is increased from 95% to 99%? 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
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses. Assume that a sample of 450 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. (to 2 decimals) (0.4239 0.5161 b. Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (to 2 decimals) 0.4093 0.5307 ) c. What happens to the margin of error as the confidence is increased from 95% to 99%? The margin of error becomes larger
Transcribed Image Text:The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses. Assume that a sample of 450 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. (to 2 decimals) (0.4239 0.5161 b. Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses. (to 2 decimals) 0.4093 0.5307 ) c. What happens to the margin of error as the confidence is increased from 95% to 99%? The margin of error becomes larger
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