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AP Statistics/Unit 3: Collecting Data
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Optimal Allocation In Stratified Sampling

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A researcher is using stratified random sampling to estimate the mean income for a country, with urban and rural regions as the strata. The population variance of income in the urban region is substantially greater than in the rural region. Which of the following sampling strategies would provide the most precise estimate of the overall mean income?

A

Sample proportional to population size in each region

B

Sample more heavily from the urban region

C

Use equal sample sizes from both regions

D

Sample more heavily from the rural region

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