Question

JLuuuuuU24514003050lb/do Question 9 Background: Primary Cook According to the Pew Research Center, men and women in a household often share chores, with women more likely to do the cooking than men. As part of a follow-up study, one random sample of couples (comprised of one man and one woman) without children was selected and an independent random sample of couples (comprised of one man and one woman) with children was taken. For each household, the question was asked 'Who cooks the majority of meals?', with the results provided in the table below. Who is the primary cook in the household? Without Children with Children Total Female Partner 93 223 130 48 Male Partner 62 110 Both are Equal 25 47 Total 180 200 380 The researcher is interested in assessing if the distribution of primary cook is the same for the population of all households without children as compared to that for all households with children. A 10% significance level has been selected. Question 9 Subquestions 9.a 2 point(s) Among households of couples with children, what percent report that the primary cook is the female partner? Use the study results to provide brief numerical justification for how you arrived at your answer. " IT 1 - 0 Size A. A

Answer 1

9.a)

P(Female Partner | With children) = P(Female Partner and With children) / P(With children)

= (130/380) / (200/380) = 0.65 = 65%

b)

Expected number of household of couples without children who would report female partner is primary cook = 180 * 223 / 380 = 105.6316

c)

χ²α = CHISQ.INV.RT(0.25, 2) = 2.773

d)

χ²α = CHISQ.INV.RT(0.1, 2) = 4.605

As χ² = 7.0793 > 4.605, we reject the null hypothesis.

Yes, the distribution of primary cook is not the same for the two populations of all household without children versus all household with children.