Problem-Solving and Data AnalysisEasyConclusion from a random sample of shoppers
Problem-Solving and Data Analysis practice question
In a random sample of 50 shoppers at a store, 30 said they preferred the store's new packaging. Which of the following is the most appropriate conclusion?
- A. About 60 percent of the store's shoppers prefer the new packaging.Correct
- B. Exactly 60 percent of the store's shoppers prefer the new packaging.
- C. Only 30 of the store's shoppers prefer the new packaging.
- D. The store should change its packaging back.
Answer: A. About 60 percent of the store's shoppers prefer the new packaging.
A random sample supports an estimate for the whole population, with some uncertainty.
Why the other answers are wrong
- B. Exactly 60 percent of the store's shoppers prefer the new packaging.
- A sample gives an estimate, not an exact figure.
- C. Only 30 of the store's shoppers prefer the new packaging.
- 30 is the sample count, not the store total.
- D. The store should change its packaging back.
- Most preferred the new packaging, and the data say nothing about what the store should do.
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