Chapter 14.5, Problem 24E

How do Americans in the “sandwich generation” balance the demands of caring for older and younger relatives? The following table contains the results of a telephone poll of Americans aged 45 to 55 years conducted by the New York Times.⁹ From each of four subpopulations, 200 individuals were polled and asked whether they were providing financial support for their parents.

1. a Use the χ² test to determine whether the proportions of individuals providing financial support for their parents differ for the four subpopulations. Use α = .05.
2. b Since the samples are independent, confidence intervals to compare the proportions in each subpopulation who financially support their parents can be obtained using the method presented in Section 8.6.
   1. i Give a 95% confidence interval for the difference in proportions who provide parental support for White and Asian Americans.
   2. ii Use the Bonferroni method presented in Section 13.12 to give six simultaneous confidence intervals to compare the proportions who provide parental support for all pairs of subpopulations. The objective is to provide intervals with simultaneous confidence coefficient at least .95.
   3. iii Based on your answer to part (ii), which subpopulations differ from the others regarding the proportion who provide financial support for their parents?