A poll conducted in the United States November 16-19, 2012, asked, "Do you think the use of marijuana should be legal or not?" In the nationwide poll of n = 1100 adults, 47% said that they favored legalization. The margin of error was given as 3%.
a) Find a 95% confidence interval estimate of the percentage of American adults who favored the legalization of marijuana at the time of the poll.
b) Write a sentence that interprets the interval computed in part (a).