Question

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 300 fans out of a random sample of 400 purchased concessions during the game. Construct a​ 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.

Answer 1

Explanation:

Given that 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 300 fans out of a random sample of 400 purchased concessions during the game.

Sample Size: 400

Sample Size: 400

Observed Proportion: 75%

Confidence Level: 95%

Confidence Interval:

±4.24

Range for the true population proportion:

70.76% to 79.24%

Thus we can expect in this range the proportion from 3600 during the game.