Chapter 8, Problem 70SE

Caregiving Responsibilities In 2017 the Pew Research Center conducted a survey on family-leave practices and attitudes. Respondents were asked to complete this sentence: “When a family member has a serious health condition, caregiver responsibilities . . .” with choices being “mainly on women,” “mainly on men,” or “on both men and women equally.” The percentages for each response are shown in the table below. For these age groups, the responses fell only into the two categories shown in the table. Assume a sample size of 1200 for each age group.

Can we conclude that there is a difference in the proportion of people aged 30 to 49 and aged 50 to 64 who feel the primary caregiver responsibility falls on women? Use a significance level of $\mathrm{0.05.}$