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Give (in percents) the two marginal distributions, for martial status and for jo

ID: 3376975 • Letter: G

Question

Give (in percents) the two marginal distributions, for martial status and for job grade. Do each of your two sets of percents add to exactly 100%? If not, why not?

Give (in percents) the conditional distribution of job grade among single men. Should your percents add to 100% (up tp roundoff error)?

Single men are more likely to hold lower grade jobs than are married men. We should not conclude that single men can help their career by getting married. What lurking variables might help explain the association between marital status and job grade?

Explanation / Answer

a)

Each of the marginal distributions sum up to exactly 100%. Depending on how one rounds the percentages, it is possible that the results will not be exactly 100%.


b)

2.1%

Percents should add up to 100% (up to round off error).


c)

Age is a lurking variable that may influence marital status and job grade. Older men are more likely to be married and more likely to have a higher level job.

Marginal Distribution of Marital Status Single 4.1% Married 93.9% Divorced 1.5% Widowed .5%
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