Problem-Solving and Data AnalysisEasy–MediumValues inside a margin of error
Problem-Solving and Data Analysis practice question
A random sample of 500 households in a region found that 38% of them own a pet, with a margin of error of 4 percentage points. Which of the following is a plausible value for the percent of ALL households in the region that own a pet?
- A. 41%Correct
- B. 45%
- C. 33%
- D. 50%
Answer: A. 41%
The margin of error gives a plausible range of 38 − 4 = 34% to 38 + 4 = 42%. Of the choices, only 41% lies in that range.
Why the other answers are wrong
- B. 45%
- 45% is above 42%, the top of the plausible range.
- C. 33%
- 33% is just below 34%, the bottom of the plausible range.
- D. 50%
- 50% is far outside the range of 34% to 42%.
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