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OpenStax, Introductory Business Statistics 2e §11.3 Goodness-of-Fit Test · Exercise 8 · Statistics · Chi-square tests

Goodness-of-Fit Test · Exercise 8

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.


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}

If the ethnicities of COVID-19 related cases 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 COVID-19 cases follows the ethnicities of the general population of Santa Clara County.

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OpenStax, Introductory Business Statistics 2e · §11.3 Goodness-of-Fit Test · Exercise 8

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