Surveying students. You are planning a survey of students at a large universityto

Chapter 0, Problem 20.39

(choose chapter or problem)

Surveying students. You are planning a survey of students at a large universityto determine what proportion favor an increase in student fees to support anexpansion of the student newspaper. Using records provided by the registrar, youcan select a random sample of students. You will ask each student in the samplewhether he or she is in favor of the proposed increase. Your budget will allow asample of 100 students. (a) For a sample of size 100, construct a table of the margins of error for 95%confidence intervals when p takes the values 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8,and 0.9.(b) A former editor of the student newspaper offers to provide funds for a sampleof size 500. Repeat the margin of error calculations in (a) for the larger samplesize. Then write a short thank-you note to the former editor describing how thelarger sample size will improve the results of the survey.