Data sometimes make it seem that getting married is good for your career. Invest

Question

Data sometimes make it seem that getting married is good for your career. Investigators were interested in testing this properly. They collected data on marital status and job status from a group of managers and professionals at one company. They assigned job status levels such that the lowest status jobs had a status of 1 and the highest status of jobs had a 4. Data are given below. a) Give, in relative frequencies, the marginal distribution for marital status. b) Give, in relative frequencies, the marginal distribution for job status. c) Should each of the marginal distributions add to exactly 100%? Why or why not?

Explanation / Answer

a) In relative frequency, the marginal distribution for martial status

a) In relative frequency, the marginal distribution for Job status

c) No, each of the marginal distribution should not add to exactly 100% because in each level at any of these two status are independent.

Marital status Job Status Single Married Divorced Widowed Total 1 955 2 4239 3 2490 4 551 Total 337 7730 126 42 8235

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