# The National Center for Education Statistics reported that

January 30, 2017

Question
1.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.
b. Provide a 99% confidence interval for the population proportion of college students
who work to pay for tuition and living expenses.
c. What happens to the margin of error as the confidence is increased from 95% to 99%?
2.. A USA Today/CNN/Gallup survey of 369 working parents found 200 who said they spend
too little time with their children because of work commitments.
a. What is the point estimate of the proportion of the population of working parents who
feel they spend too little time with their children because of work commitments?
b. At 95% confidence, what is the margin of error?
c. What is the 95% confidence interval estimate of the population proportion of working
parents who feel they spend too little time with their children because of work
commitments?

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