For Exercises 47–50, do the following:

  1. Find .
  2. Determine whether the conditions are met for constructing a confidence interval for .
  3. If the conditions are met, construct and interpret a confidence interval for with the indicated confidence level, and sketch the confidence interval on the number line. If the conditions are not met, state why not.

Question 8.226

49. Spring Break and Drinking. A study released by the American Medical Association found that 83% of college female respondents agreed that heavier drinking occurs on spring break trips than is typically found on campus. Assume that the sample size was 100 and use a 99% confidence level.

8.3.49

(a) (b) Conditions are met. (c) (0.7332, 0.9268). We are 99% confident that , the population proportion of college females who agree that heavier drinking occurs on spring break trips than is typically found on campus, lies between 0.7332 and 0.9268.

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