Question bank / Evaluating statistical claims: observational studies and experiments

Math · Problem-Solving and Data AnalysisMedium

A researcher recruited 200200 adult volunteers through a newspaper ad. The researcher randomly assigned 100100 of them to take a new herbal sleep supplement each night and the other 100100 to take a placebo. After one month, the supplement group averaged significantly more hours of sleep per night than the placebo group. Which of the following conclusions is best supported?

A

The supplement causes an increase in nightly sleep for all adults.

B

The supplement is associated with more sleep, but no cause-and-effect conclusion can be drawn.

C

The supplement likely causes an increase in nightly sleep for adults similar to the volunteers, but the results may not generalize to all adults.

D

No conclusion can be drawn because the volunteers were not randomly assigned to groups.

Show answer and explanation

Answer: C

Because the volunteers were randomly assigned to groups, the study supports a cause-and-effect conclusion. However, the participants were volunteers, not a random sample of all adults, so the conclusion should be limited to people similar to those in the study.

Choice A is tempting because random assignment supports causation, but generalizing to all adults would require random selection from that population.

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