A researcher wanted to compare the percentages of men and women who play the lottery.  They randomly sampled 300 women and found that 66 of them play the lottery.  In a random sample of 500 men, they found that 160 of them play the lottery.  Construct a 90% confidence interval for the difference in the percentage of women and men who play the lottery. Find the point estimate. Find the margin of error. Interpret the confidence interval in terms of this problem.

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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A researcher wanted to compare the percentages of men and women who play the lottery.  They randomly sampled 300 women and found that 66 of them play the lottery.  In a random sample of 500 men, they found that 160 of them play the lottery. 

  1. Construct a 90% confidence interval for the difference in the percentage of women and men who play the lottery.
  2. Find the point estimate.
  3. Find the margin of error.
  4. Interpret the confidence interval in terms of this problem.

 

 

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