The Analysis of Proportion (ANOP) is more appropriate if you want to identify the group(s) that has(have) a higher or lower proportion than the overall average proportion while the chi-square test for the difference among more than two proportions is more appropriate when you just want to see if the proportions of all the different groups are the same.

Question

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The ANOP is specifically designed to compare proportions between groups and identify those that deviate from the overall average proportion. In contrast, the chi-square test for the difference among more than two proportions only tests for overall differences between groups, without identifying which ones are significantly different from the others. Therefore, ANOP is more appropriate for identifying specific group differences in proportions while chi-square is more appropriate for overall comparisons of proportions.

The Analysis of Proportion (ANOP) Is More Appropriate If You