To calculate the Chi-Squared statistic using the provided helper calculations, you will need observed frequencies and expected frequencies for the categories of your data. The general formula for the Chi-Squared statistic (\( \chi^2 \)) is:
\[
\chi^2 = \sum \frac{(O_i - E_i)^2}{E_i}
\]
Where:
- \( O_i \) = Observed frequency for category \( i \).
- \( E_i \) = Expected frequency for category \( i \).
### Given your context:
Assuming that:
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