Goodness-of-Fit Test · Exercise 21

The columns in contain the Race/Ethnicity of U.S. Public Schools for a recent year, the percentages for students using mass transit to get to school, and the Overall Student Population. Suppose the right column contains the result of a survey of 1,000 local students from that year who used mass transit to get to school.
\begin{array}{|c|c|c|c|}\hline \text{Race/Ethnicity} & \text{Percentage Who Use Mass Transit to Get to School} & \text{Overall Student Population} & \text{Survey Frequency} \\ \hline \text{Asian, Asian American, or Pacific Islander} & \text{10.2%} & \text{5.4%} & \text{113} \\ \hline \text{Black or African-American} & \text{8.2%} & \text{14.5%} & \text{94} \\ \hline \text{Hispanic or Latino} & \text{15.5%} & \text{15.9%} & \text{136} \\ \hline \text{American Indian or Alaska Native} & \text{0.6%} & \text{1.2%} & \text{10} \\ \hline \text{White} & \text{59.4%} & \text{61.6%} & \text{604} \\ \hline \text{Not reported/other} & \text{6.1%} & \text{1.4%} & \text{43} \\ \hline\end{array}

Perform a goodness-of-fit test to determine whether the local results follow the distribution of those that use mass transit, based on ethnicity.

This is an open-ended exercise: its source gives no single answer.

OpenStax, Introductory Statistics 2e · §11.2 Goodness-of-Fit Test · Exercise 21