In a chi-square test of proportion differences, we will reject the "all proportions are equal" null hypothesis if the p-value for the chi-square statistic is less than the significance level for the test.

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If the p-value for the chi-square statistic is less than the chosen significance level (often 0.05), it indicates that the observed differences in proportions are statistically significant, leading to the rejection of the null hypothesis that all proportions are equal.

In a Chi-Square Test of Proportion Differences, We Will Reject