Problem-Solving and Data AnalysisEasy–MediumWhat a margin of error means
Problem-Solving and Data Analysis practice question
A poll of randomly selected adults reports that 47% support a proposal, with a margin of error of 3 percentage points. Which of the following best describes what the margin of error indicates?
- A. How far the true percentage for all adults could plausibly be from the poll's 47%.Correct
- B. The percentage of respondents who answered the question incorrectly.
- C. The percentage of adults who refused to take part in the poll.
- D. The probability that the pollsters made a mistake in their arithmetic.
Answer: A. How far the true percentage for all adults could plausibly be from the poll's 47%.
A margin of error describes sampling uncertainty: the population value plausibly lies within 3 points of the sample's 47% (44% to 50%).
Why the other answers are wrong
- B. The percentage of respondents who answered the question incorrectly.
- The margin of error is about the difference between a sample and its population, not about wrong answers.
- C. The percentage of adults who refused to take part in the poll.
- Non-response is a separate issue and isn't what the margin measures.
- D. The probability that the pollsters made a mistake in their arithmetic.
- The margin of error has nothing to do with arithmetic mistakes; it exists even for a perfectly conducted poll.
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