For Exercises 13–18, refer to the indicated data to answer (a)–(d).

  1. We are interested in constructing a 95% confidence interval for . Is it appropriate to do so? Why or why not? If not appropriate, then do not perform (b)–(d).
  2. Provide the point estimate of the difference in population proportions .
  3. Calculate the margin of error for a confidence level of 95%. What does this number mean?
  4. Construct and interpret a 95% confidence interval for .

Question 10.125

13. Data from Exercise 5

10.3.13

(a) , , , and , so it is appropriate. (b) 0.05 (c) 0.1554. The point estimate will lie within of the difference in population proportions 95% of the time. (d) (–0.1054, 0.2054). We are 95% confident that the difference in population proportions lies between −0.1054 and 0.2054.