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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

VerifiedThe 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 $6015$ 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 $12.6\%$, $p_1=0.126$, and represents people that haven't finished high school. The second probability amounts to $29.6\%$,$p_2=0.296$, and represents people that have finished only high school. The third probability amounts to $19.6\%$, $p_3=0.196$, and represents people that have finished some college. The fourth probability amounts to $38.3\%$, $p_4=0.383$, 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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