(Answered) Proportion of fans who purchased concessions

Statistics

Problem: 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 comma 500and is routinely sold out. It was discovered that a total of 280fans out of a random sample of 400purchased concessions during the game.

Required:

Question: Construct a 95% confidence interval to estimate the proportion of fans who purchased concessions during the game. Provide your rationale and any supporting data.

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