The sum of squared differences, with each squared difference divided by the theoretical frequency, should be large if there is no significant difference between the proportions.

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The sum of squared differences, with each squared difference divided by the theoretical frequency, should be small if there is no significant difference between the proportions. A large value would indicate a significant difference. The sum of squared differences, with each squared difference divided by the theoretical frequency, should be small (not large) if there is no significant difference between the proportions. This is because a small value indicates that the observed frequencies are close to the expected frequencies under the null hypothesis of no difference.

The Sum of Squared Differences, with Each Squared Difference Divided