In March 2016, Pew Research asked a random sample of 2254 U.S. adults, “Do you strongly favor, favor, oppose, or strongly oppose allowing gays and lesbians to marry legally?” (www.people-press.org/2016/03/31/campaign-exposes-fissures-over-issues-values-and-howlife-has-changed-in-the-u-s/). Of those polled, 57% said they favored marriage equality, the highest percentage to date.
a) Create a 95% confidence interval for the percentage of all U.S. adults who support marriage equality.
b) Based on your confidence interval, can you conclude that a majority of U.S. adults support legally recognizing gay marriages?
c) If pollsters wanted to follow up on this poll with another survey that could determine the level of support for gay marriage to within 2% with 98% confidence, how many people should they poll?