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Problem-Solving and Data AnalysisEasy–MediumPlausible range from an estimate with uncertainty

Problem-Solving and Data Analysis practice question

A poll of a random sample of voters estimates that 60% support a new park, give or take 4 percentage points. Which of the following ranges is plausible for the percentage of all voters who support the park?

  1. A. 56% to 64%Correct
  2. B. 60% to 64%
  3. C. 40% to 60%
  4. D. Exactly 60%

Answer: A. 56% to 64%

60 − 4 = 56 and 60 + 4 = 64.

Why the other answers are wrong

B. 60% to 64%
The uncertainty runs in both directions.
C. 40% to 60%
40 to 60 is not centred on the estimate.
D. Exactly 60%
A sample cannot pin down the population figure exactly.

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