Question 10.139

27. Technological Change. Refer to Exercise 23 to answer the following questions:

  1. Construct and interpret a 95% confidence interval for the difference in population proportions.
  2. Use the confidence interval from (a) to test, using level of significance , whether the population proportions differ.
  3. Does your conclusion from (b) agree with your conclusion from Exercise 23 (c)?

10.3.27

(a) TI-84 (–0.0668, 0.1295). We are 95% confident that the difference in the population proportions of people 18–29 years old and people age 65 years or older who agree that technology will lead to a better future lies between 20.0668 and 0.1295. (b) lies in the interval so we do not reject . (c) Yes.