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.
Accepted Solution
A:
Answer:Step-by-step 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.