Problem: A university would like to estimate the proportion of fans that purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3,600 and is routinely sold out. It was discovered that a total 230 fans out of a random sample of 500 purchased concessions during the game. Construct a 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.
The 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is ()