Example 2: Movie Goers are More Likely to Watch at Home In a random sample of 500 movie goers in January 2013, 320 of them said they are more likely to wait and watch a new movie in the comfort of their own home.  Sample Size and Margin of Error for Movie Goers  (a)  What is the margin of error for the confidence interval found in Example 2?     (b)  What sample size is needed if we want a margin of error within ±2%?  (Use the sample proportion from the original sample.)     (c)  What sample size is needed if we want a margin of error within ±2%, and if we use the conservative estimate of p = 0.5?

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 58E: What is meant by the sample space of an experiment?
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 Example 2: Movie Goers are More Likely to Watch at Home

In a random sample of 500 movie goers in January 2013, 320 of them said they are more likely to wait and watch a new movie in the comfort of their own home. 

Sample Size and Margin of Error for Movie Goers

 (a)  What is the margin of error for the confidence interval found in Example 2?

 

 

(b)  What sample size is needed if we want a margin of error within ±2%?  (Use the sample proportion from the original sample.)

 

 

(c)  What sample size is needed if we want a margin of error within ±2%, and if we use the conservative estimate of p = 0.5? 

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