Problem

For groups of \(200\), compare online-homework preference rates \(124/200=62\%\) for sport participants and \(120/200=60\%\) for nonparticipants. Apply the stated \(5\text{-}\text{point}\) and \(10\text{-}\text{point}\) rule, classify the displayed relationship, and state the approximation caveat.

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difference=2 percentage points≤5; classification=exact independence because both rates are in60s; caveat=rounded decade labels are treated as exact equality

difference=2 percentage points≤5; classification=association because participants are higher; caveat=direction is treated as overriding the threshold

difference=2 percentage points≤5; classification=approximately independent by stated rule; caveat=rates differ slightly, so this is approximate sample evidence, not exact equality or causal proof

difference=2 percentage points≤5; classification=association because62 differs from60; caveat=any difference is treated as overriding the threshold

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For groups of \(200\), compare online-homework preference rates \(124/200=62\%\) for sport participants and \(120/200=60\%\) for nonparticipants. Apply the stated \(5\text{-}\text{point}\) and \(10\text{-}\text{point}\) rule, classify the displayed relationship, and state the approximation caveat.

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