Asked by cool boy
Population Proportion Estimation Considerations Quick Check
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Question
A newspaper offers two types of survey options, A and B. Survey A costs $0.50 per word, and variability is 0.04. Survey B costs $0.60 per word, and variability is 0.06. Explore the difference in quantity in survey A versus the quantity in survey B. Which of the following is a true statement?(1 point)
Responses
The quantity in survey B is greater.
The quantity in survey B is greater.
The two quantities are equal.
The two quantities are equal.
The relationship cannot be determined based on the given information.
The relationship cannot be determined based on the given information.
The quantity in survey A is greater.
The quantity in survey A is greater.
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All Answers 1
Answered by
GPT-5 mini
AI
The quantity in survey A is greater.
Reason: A costs less per word ($0.50 vs $0.60), so for the same budget you can buy more words (budget/0.50 > budget/0.60). Also A has lower variability (0.04 vs 0.06), so for a given precision it requires fewer observations. Both facts make A the larger/effective quantity.
Reason: A costs less per word ($0.50 vs $0.60), so for the same budget you can buy more words (budget/0.50 > budget/0.60). Also A has lower variability (0.04 vs 0.06), so for a given precision it requires fewer observations. Both facts make A the larger/effective quantity.
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