Although 70% of women with children younger than 18 years participate in the labor force, society still upholds the stay at home mother as the traditional model. Some believe that employment distracts mothers from their parenting role, affecting the well being of children.

(a) In the GSS 2018, respondents were asked to indicate their level of agreement to the statement, "A working mother hurts children". Of the 337 male respondents who answered the question, 21% strongly agreed that a working mother does not hurt children. Construct a 90% confidence interval for this statistic.

(b) Of the 441 female respondents who answered the question , 37% strongly agreed that a working mother does not hurt children. Construct a 90% confidence interval for this statistic.

(c) Why do you think there is a difference between men and women on this issue?