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Problem-Solving and Data AnalysisMediumPlausible population value from a poll

Problem-Solving and Data Analysis practice question

In a random sample of 200 voters, 56% said they favour a new library. The margin of error for the estimate is 4 percentage points. Which of the following is a plausible value for the percent of all voters who favour the new library?

  1. A. 58%Correct
  2. B. 50%
  3. C. 62%
  4. D. 45%

Answer: A. 58%

Plausible values run from 52% to 60%; 58% is inside that interval.

Why the other answers are wrong

B. 50%
50% is below 52%.
C. 62%
62% is above 60%.
D. 45%
45% is far below the interval.

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