The definition and composition of families has evolved over the past several decades. The Pew Research Center (2020) published a report of some of the generational differences, including the proportion of men who are not married and living with their own child(ren). A researcher is interested in determining if there is a significant difference between the number of single fathers in the Baby Boomer generation and the Millennial generation. To do this, they are going to compare the proportion of fathers who report being unmarried and living with their child(ren) in 2019 – for the Millennial generation – and 1987 – for the Baby Boomer generation. What statistical test should be used to determine if there are differences between the two generations? Assume parametric assumptions are met. A. Is this a relationship test or a difference test? Explain your rationale.  B. What would be the appropriate statistical test? Explain your rationale.

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The definition and composition of families has evolved over the past several decades. The Pew
Research Center (2020) published a report of some of the generational differences, including the
proportion of men who are not married and living with their own child(ren). A researcher is
interested in determining if there is a significant difference between the number of single fathers
in the Baby Boomer generation and the Millennial generation. To do this, they are going to
compare the proportion of fathers who report being unmarried and living with their child(ren) in
2019 – for the Millennial generation – and 1987 – for the Baby Boomer generation. What
statistical test should be used to determine if there are differences between the two generations?
Assume parametric assumptions are met.

A. Is this a relationship test or a difference test? Explain your rationale. 

B. What would be the appropriate statistical test? Explain your rationale. 

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