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suppose you were using the percentage difference method to determine the relationship between two varibles of...

suppose you were using the percentage difference method to determine the relationship between two varibles of interest arranged in a buvariate table. Are
there instances where you might find a very large percentage difference yet fail to find statistically significant results after conducting a chi-square test? If so, what factors would explain this?
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Answer #1

This can happen due to very small sample sizes

TS depends on sample sizes

when sample sizes are large, even when there is no practical difference in proportion, we could find significant difference

whereas when sample sizes are small, even high difference can't produce statistically significant results

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