An Australian researcher conducted a study on a married couple’s risk of separat
ID: 3377411 • Letter: A
Question
An Australian researcher conducted a study on a married couple’s risk of separation based upon whether the wife’s parents had been divorced. The results from the study are below.
Couple’s Status
Married (Co-habitating) Separated Totals
Wife’s Parents Not Divorced 1092 72 1164
Divorced? Divorced 292 42 334
Totals 1384 114 1498
1. List the marginal distribution for Couple’s Status.
2. What percentage of wives have parents that are either divorced or are (themselves) Separated?
3. What percentage of wives neither have Divorced parents nor are (themselves) Separated?
4. According to the table, which unique category also produces the same answer computed in 3? How does this compare with your answer from 2?
Couple’s Status
Married (Co-habitating) Separated Totals
Wife’s Parents Not Divorced .729 .048 _____
Divorced? Divorced .195 .028 ______
Totals _____ ______ 1.00
5. Complete the table with the marginal probabilities.
6. List the 4 elements within the Sample Space (by pairing of Couple’s Status&Parental Divorce Status).
7. According to the table, can a couple be both Married (Co-habitating) & Separated? ____
(events that cannot occur simultaneously are disjoint).
8. Then use the above completed table to compute the percentage of wives that either have Divorced parents or are (themselves) Separated? How does this compare with your answer from 2?
Explanation / Answer
An Australian researcher conducted a study on a married couple’s risk of separat
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