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Problem-Solving and Data AnalysisEasyWhat a random sample supports

Problem-Solving and Data Analysis practice question

A random sample of 500 adults in a city was surveyed, and 40% of them said they cycle at least once a week. Which of the following conclusions is best supported by the survey?

  1. A. About 40% of all adults in the city cycle at least once a week.Correct
  2. B. Exactly 40% of all adults in the city cycle at least once a week.
  3. C. About 40% of all adults in the country cycle at least once a week.
  4. D. Exactly 500 adults in the city cycle at least once a week.

Answer: A. About 40% of all adults in the city cycle at least once a week.

A random sample supports an approximate estimate for the population it was drawn from.

Why the other answers are wrong

B. Exactly 40% of all adults in the city cycle at least once a week.
A sample cannot give an exact population figure.
C. About 40% of all adults in the country cycle at least once a week.
The sample was drawn from one city, not the country.
D. Exactly 500 adults in the city cycle at least once a week.
500 is the sample size, not a count of cyclists.

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