Goodness-of-Fit Test · Exercise 17

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}

Does it appear that the pattern of disease cases in Santa Clara County corresponds to the distribution of ethnic groups in this county? Why or why not?

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

OpenStax, Statistics · §11.2 Goodness-of-Fit Test · Exercise 17