Goodness-of-Fit Test · Exercise 9

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

The percentage of each ethnic group in Santa Clara County is as in.
\begin{array}{|c|c|c|}\hline \text{Ethnicity} & \text{% of Total County Population} & \text{Number Expected (round to two decimal places)} \\ \hline \text{White} & \text{42.9%} & \text{1,748.18} \\ \hline \text{Hispanic} & \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}

If the ethnicities of patients followed the ethnicities of the total county population, fill in the expected number of cases per ethnic group.
Perform a goodness-of-fit test to determine whether the occurrence of disease cases follows the ethnicities of the general population of Santa Clara County.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §11.2 Goodness-of-Fit Test · Exercise 9