Why is it not a good idea to simply do z-test

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We have a four-sided top. Each side is a different color (red, yellow, blue, green). We want to test to see if it is fair. Why is it not a good idea to simply do z-test for each category - meaning to test to see if there are too many or too few red, then too many or too few yellow, then too many or too few green, and then too many or too few blue)?

Reference no: EM132847637

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