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In: Statistics and Probability

Random samples of students at 118 four-year colleges were interviewed in 1999 and 2008. Of the...

Random samples of students at 118 four-year colleges were interviewed in 1999 and 2008. Of the students who reported drinking alcohol, the percentage who reported bingeing at least three times in the last two weeks was 139 of 336 surveyed in 1999 and 181 of 842 surveyed in 2008.

  1. Estimate the difference in proportions between 2008 and 1999.
  2. What is the standard error for this difference?
  3. What is the 95% confidence interval for this difference?
  4. Does this indicate a difference between 2008 and 1999?
  5. If you wanted the evaluate these results using a hypothesis test, what would be the null and alternative hypotheses?
  6. Is this a one tailed or two tailed test? Draw the rejection regions.
  7. What is the relevant test statistic?
  8. What is the probability associated with that test statistic ?
  9. Should you accept or reject the null hypothesis?

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