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Problem-Solving and Data AnalysisHardIdentifying a confounding variable

Problem-Solving and Data Analysis practice question

A study found that towns with more ice-cream shops per resident have higher rates of sunburn. A journalist concludes that ice-cream shops cause sunburn. Which of the following, if true, best explains the association without ice-cream shops causing sunburn?

  1. A. Both ice-cream shops and sunburn are more common in towns with hotter, sunnier weather.Correct
  2. B. The study included only towns with at least one ice-cream shop.
  3. C. Sunburn rates were measured from hospital records, which are very accurate.
  4. D. Most ice-cream shops also sell sunscreen.

Answer: A. Both ice-cream shops and sunburn are more common in towns with hotter, sunnier weather.

A third factor — sunny weather — would independently raise BOTH the number of ice-cream shops and the sunburn rate, producing the association with no causal link between them.

Why the other answers are wrong

B. The study included only towns with at least one ice-cream shop.
Restricting the sample to towns with a shop doesn't explain why more shops go with more sunburn.
C. Sunburn rates were measured from hospital records, which are very accurate.
Accurate measurement makes the association more credible; it does nothing to explain it away.
D. Most ice-cream shops also sell sunscreen.
If shops sold sunscreen, that would if anything REDUCE sunburn near them, making the association harder to explain, not easier.

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