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 10.129

17. Data from Exercise 10

10.3.17

(a) , , , and , so it is appropriate. (b) −0.13 (c) 0.0432. The point estimate will lie within of the difference in population proportions 95% of the time. (d) (–0.1732, −0.0868). We are 95% confident that the difference in population proportions lies between −0.1732 and −0.0868.