For Exercises 19–22, a confidence interval for is given. Use the confidence interval to test, using level of significance , whether differs from each of the indicated hypothesized values.

Question 10.131

19. A 95% confidence interval for is (0.5, 0.6). Hypothesized values are

  1. 0
  2. 0.1
  3. 0.57

10.3.19

(a) . The hypothesized value of 0 lies outside the interval (0.5, 0.6), so we reject at the level of significance. (b) . The hypothesized value of 0.1 lies outside the interval (0.5, 0.6), so we reject at the level of significance. (c) . The hypothesized value of 0.57 lies inside the interval (0.5, 0.6), so we do not reject at the level of significance.