A Researcher Would Like to Learn About the Difference in Proportions

Essay

A researcher would like to learn about the difference in proportions of students and faculty who support textbook price caps. The researcher gathers a random sample of 500 students and 500 faculty members and asks whether or not they support textbook price caps. Of the 500 students, 378 say they support capping textbook prices and of the 500 faculty members 256 say they support capping prices.
a.Determine if the large sample confidence interval procedure can be used for estimation.
b.Create a 95% confidence interval for the difference of the population proportions.
c.Interpret the confidence interval.