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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Working mothers with children. The U.S. Census Bureau

Chapter 3, Problem 68E

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QUESTION:

Problem 68E

Working mothers with children. The U.S. Census Bureau reports a decline in the percentage of mothers in the workforce who have infant children. The following table gives a breakdown of the marital status and working status of the 1.8 million mothers with infant children in the year 2010. (The numbers in the table are reported in thousands.) Consider the following events: A = {Mom with infant works}, B = {Mom with infant is married and living with husband}. Are A and B independent events?

Working

Not Working

Married/living with husband

1,174

89

All other arrangements

416

121

Source: Data from U.S. Census Bureau, Bureau of Labor Statistics, 2010.

Questions & Answers

QUESTION:

Problem 68E

Working mothers with children. The U.S. Census Bureau reports a decline in the percentage of mothers in the workforce who have infant children. The following table gives a breakdown of the marital status and working status of the 1.8 million mothers with infant children in the year 2010. (The numbers in the table are reported in thousands.) Consider the following events: A = {Mom with infant works}, B = {Mom with infant is married and living with husband}. Are A and B independent events?

Working

Not Working

Married/living with husband

1,174

89

All other arrangements

416

121

Source: Data from U.S. Census Bureau, Bureau of Labor Statistics, 2010.

ANSWER:

Solution:

Step 1 of 2:

We have,

A = {Mom with infant works}, and

B = {Mom with infant is married and living with husband}

Working

Not working

Total

Married/living with husband

1,174

89

1263

All other arrangements

416

121

537

Total

1590

210

1800

The claim is to check that A and B are independent events.

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