A university would like to estimate the proportion of fans who 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 of 220 fans out of a random sample of 500 purchased concessions during the game. Construct a 96% 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 CD (Round to three decimal places as needed.)