Question

Can we infer that the Survey of Consumer Finances in 2013 overrepresented at least one education category (EDCL)?

Survey of Consumer Finances Exercises
The following figures are from the United States Census in 2013:
Racial Mix
White non-Hispanic 61.6%
Black 13.2%
Hispanic 17.6%
Other 7.5%
Education
Less than high school 12.6%
High school 29.6%
Some college including junior college 19.6%
College graduate including bachelor’s and graduate degrees 38.3%

Solution

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The goal of this task is to determine whether there is enough evidence that at least one category in education is overrepresented. From the task, we are given four different recorded probabilities and the excel table that contains 60156015 different outcomes. In the excel table, every number from one to four denotes different education statuses. Number one is that the person left high school, number two is that the person has only finished high school, number three is the person went to junior college, number four is that the person has a bachelor's degree or a graduate degree. Each given probability describes a different situation. The first probability amounts to 12.6%12.6\%, p1=0.126p_1=0.126, and represents people that haven't finished high school. The second probability amounts to 29.6%29.6\%,p2=0.296p_2=0.296, and represents people that have finished only high school. The third probability amounts to 19.6%19.6\%, p3=0.196p_3=0.196, and represents people that have finished some college. The fourth probability amounts to 38.3%38.3\%, p4=0.383p_4=0.383, and represents people that have either bachelors or graduate degrees.

What kind of test do we have to use to conclude if at least one education status is overrepresented?

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