To interpret a chi-square goodness-of-fit test,we compare observed and expected frequencies at each level of the categorical variable,and not across the levels of the categorical variable.

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This is because the chi-square goodness-of-fit test is used to determine whether the observed frequencies for a categorical variable differ significantly from the expected frequencies, usually in the context of a particular hypothesis. As such, the focus is on comparing the observed and expected frequencies within each level of the categorical variable, rather than across levels.

To Interpret a Chi-Square Goodness-Of-Fit Test,we Compare Observed and Expected