For Exercises 12 and 13, follow steps (a)–(d).

  1. Find .
  2. Determine whether the conditions are met.
  3. Calculate and interpret the margin of error,
  4. Construct a confidence interval for with the indicated confidence level, and sketch the confidence interval on the number line.

Question 8.314

13. Confidence level 95%, ,

8.99.13

(a) (b) is and is (c) . We can estimate the population proportion to within 0.0087 with 95% confidence. (d) (0.0013, 0.0187). We are 95% confident that the population proportion lies between 0.0013 and 0.0187.