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 3,500 and is routinely sold out. It was discovered that a total of 300 fans out of a random sample of 500 purchased concessions during the game. Construct a95% confidence interval to estimate the proportion of fans who purchased concessions during the game.

The95% confidence interval to estimate the proportion of fans who purchased concessions during the game is

upper and lower please round to 3 decimal places