34. A recent study used data from the Longitudinal Study of Aging to investigate how older people's health and social characteristics influence how far they live from their children (M. Silverstein, Demography. Vol 32, 1995. p. 35) Consider Table 7.17, which show's whether an older subject lives with a child at a given time and then again four years later.

a) Test the hypothesis that the truc proportion living with a child is the same at the two times. Report and interpret the P-value. Silverstein expected that as people aged and their health delenorated, they would be more likely to live with children Do these data support this belief?

b) Construct a 95% confidence interval for the change in the proportion living with a child Interpret.

TABLE 7.17 First Four Years Later Survey Yes No Yes 423 138 No 217 2690 Concepts and Applications