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 8.224

47. Married Millennials. Millennials refers to the generation of young people ages 18–29 in 2010, because they are the first generation to come of age in the new millennium. A 2010 Pew Research Center study found that 183 of a sample of 830 American millennials were married. Use a 95% confidence level.

8.3.47

(a) (b) Conditions are met. (c) (0.1923, 0.2487). We are 95% confident that , the population proportion of millennials who are married, lies between 0.1923 and 0.2487.

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