In current study it was found that for sample of 505 college freshmen that attended public college, 363 returned for their sophomore year. For sample of 1139 freshmen that attend private college, 853 returned for their sophomore year.
A. Determine the point estimate of the proportion of public college students that return.
B. Determine the point estimate of the proportion of private college students that return.
C. Using the appropriate formulas, determine the 95% confidence interval for proportion of public college students that return. Show all work. Interpret your result.
D. Using the technique of your choice, determine the 95% confidence interval for proportion of private college students that return. Interpret your result.
E. Based upon your confidence intervals, does it appear that private colleges do a better job of the retaining students? (Do they have a higher percentage return?) Explain and support your answer.