The chi-square statistic measures the difference between the observed data and what would be expected by chance alone.

Question

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This is a correct statement about the purpose and interpretation of the chi-square statistic. It is used to evaluate the goodness of fit between observed data and expected frequencies based on a particular hypothesis, and a larger value of chi-square indicates a greater discrepancy between the two. By comparing the chi-square value to a critical value based on the degrees of freedom and significance level, we can determine whether to reject or fail to reject the null hypothesis.

The Chi-Square Statistic Measures the Difference Between the Observed Data