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14 April, 08:50

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.

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  1. 14 April, 11:45
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    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.
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