The Pew Research poll described in Exercise 5 found that 56% of a sample of 1060 teens go online several times a day. (Treat this as a simple random sample.)
a) Find the margin of error for this poll if we want 95% confidence in our estimate of the percent of American teens who go online several times a day.
b) Explain what that margin of error means.
c) If we only need to be 90% confident, will the margin of error be larger or smaller?
d) Find that margin of error.
e) In general, if all other aspects of the situation remain the same, would smaller samples produce smaller or larger margins of error?

Data From Exercise 5

Pew Research, in 2015, polled a random sample of 1060 U.S. teens (ages 13–17) about Internet use. 56% of those teens reported going online several times a day—a fact of great interest to advertisers.