The following table shows U.S. employment figures for August 2011, broken down b
ID: 3395426 • Letter: T
Question
The following table shows U.S. employment figures for August 2011, broken down by educational attainment. All numbers are in millions, and represent civilians aged 25 years and over. Those classed as "not in labor force" were not employed nor actively seeking employment.
Your friend claims that a person not in the labor force is more likely to have only a high school diploma than an employed person. Respond to this claim by citing actual probabilities. Round your answers to two decimal places.
Your friend is ---Select--- (right or wrong) . The probability that a person not in the labor force has only a high school diploma is , while the corresponding figure for an employed person is .
Employed Unemployed Not inLabor Force Total Less Than High
School Diploma 9.9 1.6 17.7 29.2 High School
Diploma Only 34.1 3.5 24.4 62.0 Some College or
Associate's Degree 34.4 3.0 15.6 53.0 Bachelor's Degree
or Higher 46.4 2.0 12.2 60.6 Total 124.8 10.1 69.9 204.8
Explanation / Answer
The probability that a person not in the labor force has only a high school diploma is 24.4/69.9 = 0.35
The corresponding figure for an employed person is 34.1/124.8 = 0.27
As 0.35 > 0.27, a person not in the labor force is more likely to have only a high school diploma than an employed person.
Thus, Friend is right.
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