A Pew Research Center survey of online American adults included 1,074 Facebook users. Of these Facebook users, 935 are connected to friends from the past (such as high school or college classmates) while 419 of these Facebook users are connected to people they have never met in person. (Data extracted from "Demographics of Key Social Networking Platforms," January, 9, 2015, bit.ly/1JKUD0o.)

a. Construct a 95% confidence interval estimate for the population proportion of Facebook users who are connected to friends from the past.

b. Construct a 95% confidence interval estimate for the population proportion of Facebook users who are connected to people they have never met in person.

c. Compare the results of (a) and (b).