What's "in" on campus. The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students.7 Recently, the Student Monitor reported that 58% of those surveyed agreed that Facebook was "in" on campus. You feel that your campus has shown signs of "Facebook fatigue" and expect the proportion at your school to be lower.
(a) Ignoring the fact that the Student Monitor used a more complex sampling design and, instead, treating it as an SRS, what is the margin of error of their estimate for 95% confidence?
(b) You expect the proportion at your school to be lower and could be near 50%. What number of students would you have to sample to make sure the margin of error is no larger than what you calculated in part (a)?
(c) What is the required sample size if you reduced your confidence level to 90%?