Problem-Solving and Data AnalysisEasy–MediumInterval from an estimate and a margin
Problem-Solving and Data Analysis practice question
A poll of randomly selected voters estimates that 40% support a candidate, with a margin of error of 3 percentage points. Which of the following is the plausible range for the percentage of ALL voters who support the candidate?
- A. 37% to 43%Correct
- B. 40% to 43%
- C. 34% to 46%
- D. 37% to 40%
Answer: A. 37% to 43%
The margin of error extends 3 points on EACH side of the estimate: 40 − 3 = 37 up to 40 + 3 = 43.
Why the other answers are wrong
- B. 40% to 43%
- 40% to 43% extends only upward; the true value could be below the estimate too.
- C. 34% to 46%
- 34% to 46% uses 6 points each side, double the margin.
- D. 37% to 40%
- 37% to 40% extends only downward.
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