Practice Confounding Variables in Statistics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A variable that influences both the independent and dependent variables, creating a spurious association that can be mistaken for causation.

Ice cream sales and drowning deaths correlate. Confounding variable: hot weather. It causes both! Without recognizing confounders, you'd wrongly blame ice cream for drowning.

Example 1

easy
A study finds that children who have more books at home get higher test scores. A researcher concludes that buying more books will raise test scores. Identify the confounding variable.

Example 2

medium
Hospitals A and B both perform a surgery. Hospital A has a 90% survival rate, Hospital B has 95%. However, Hospital A takes more high-risk patients. When only high-risk patients are compared, Hospital A has a higher survival rate. Explain this paradox.

Example 3

medium
A study finds that people who own swimming pools are more likely to have skin cancer. Identify a possible confounding variable and explain how random assignment could address it.

Example 4

hard
A company claims its energy drink improves athletic performance because athletes who drink it run faster. However, the athletes were not randomly assigned โ€” those who drank the energy drink also trained harder. (a) Identify the confounding variable. (b) Explain what 'controlling for' a confounding variable means. (c) How could the study be redesigned?