Logic Breakdown

Passage Summary: Skiing is much safer now than it used to be, with total injuries cut in half. However, the author argues that knee injuries haven't actually decreased because they make up a larger portion of the injury pool than they used to.

Conclusion: The decrease in the total number of skiing injuries does not mean that every specific type of injury has also seen a decline.

Reasoning: While total injuries dropped by half and leg/ankle injuries dropped by 90 percent, knee injuries now account for a higher percentage of total injuries (16 percent) than they did 20 years ago (11 percent).

Analysis: The author falls into a classic statistical trap by confusing relative percentages with absolute numbers. Even if knee injuries represent a larger 'slice' of the pie, the 'pie' itself has shrunk by 50 percent, meaning the actual number of knee injuries could still be lower than before. To find the flaw, look for an answer choice that points out how a category can increase in its share of the total while still decreasing in its actual frequency. It is a bit like saying you are eating more cake because you have 20% of a small cupcake instead of 10% of a giant wedding cake.

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19.

The reasoning in the argument is flawed because the argument does which one of the following?

Correct Answer
D
The argument assumes that because knee injuries’ percentage increased, their absolute number did not decrease. That’s invalid: a category’s share can rise even as its count falls if the total and other categories fall more.
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