Goodness-of-Fit Test · Exercise 14

The cumulative number of COVID-19 related cases reported for Santa Clara County for a certain time period is broken down by ethnicity as in.
$$\begin{array}{cc}\text{Ethnicity}& \text{Number of Cases}\\ \text{White}& \text{2,229}\\ \text{Hispanic/Latino}& \text{1,157}\\ \text{Black/African-American}& \text{457}\\ \text{Asian, Pacific Islander}& \text{232}\\ & \text{Total = 4,075}\end{array}$$

The percentage of each ethnic group in Santa Clara County is as in.
\begin{array}{|c|c|c|}\hline \text{Ethnicity} & \text{Percentage of total county population} & \text{Number expected (round to two decimal places)} \\ \hline \text{White} & \text{42.9%} & \text{1748.18} \\ \hline \text{Hispanic/Latino} & \text{26.7%} & \\ \hline \text{Black/African-American} & \text{2.6%} & \\ \hline \text{Asian, Pacific Islander} & \text{27.8%} & \\ \hline & \text{Total = 100%} & \\ \hline\end{array}

χ^2 test statistic = _______

OpenStax, Introductory Statistics 2e · §11.2 Goodness-of-Fit Test · Exercise 14