A simple random sample of 1100 males aged 12 to 17 in the United States were asked whether they played massive multiplayer online role-playing games (MMORPGs); 775 said that they did. We want to use this information to construct a 95% confidence interval to estimate the proportion of all U.S. males aged 12 to 17 who play MMORPGs. a) Calculate the Margin of Error b) Find the Confidence Interval. c) Suppose you wanted to estimate the proportion of 12-to-17 year-old males who play MMORPG’s with 95% confidence to within ± 2%. Calculate how large a sample you would need

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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A simple random sample of 1100 males aged 12 to 17 in the United States were asked whether they played massive multiplayer online role-playing games (MMORPGs); 775 said that they did. We want to use this information to construct a 95% confidence interval to estimate the proportion of all U.S. males aged 12 to 17 who play MMORPGs.

a) Calculate the Margin of Error


b) Find the Confidence Interval.


c) Suppose you wanted to estimate the proportion of 12-to-17 year-old males who play MMORPG’s with 95% confidence to within ± 2%. Calculate how large a sample you would need.

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