Problem-Solving and Data AnalysisEasyEffect of sample size on the margin of error
Problem-Solving and Data Analysis practice question
A survey is repeated with a much larger random sample. What happens to the margin of error?
- A. It gets smaller.Correct
- B. It gets larger.
- C. It stays exactly the same.
- D. It becomes zero.
Answer: A. It gets smaller.
Larger random samples give estimates that vary less, so the margin of error shrinks.
Why the other answers are wrong
- B. It gets larger.
- More data makes the estimate more precise, not less.
- C. It stays exactly the same.
- Sample size affects the margin.
- D. It becomes zero.
- Only a census of everyone would remove it entirely.
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