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 4 decimals). b. Provide a 99% confidence interval for the population proportion of college students who work to pay for tuition and living expenses (to 4 decimals). c. What happens to the margin of error as the confidence is increased from 95% to 99%? Select