NZ Scholarship Statistics Practice Questions - New Zealand Scholarship Statistics Assessment Exam

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A researcher investigates regional income disparities in New Zealand by collecting a stratified random sample across urban and rural regions. When generating bootstrap resamples, why must the resampling procedure be stratified within each region?

To preserve the original sampling design and fixed stratum sample sizes in every bootstrap resample To ensure that rural incomes are artificially weighted to match urban income medians To eliminate sampling variability between different bootstrap iterations entirely Because simple unstratified resampling automatically converts continuous data into categorical strata

Correct Answer:

To preserve the original sampling design and fixed stratum sample sizes in every bootstrap resample

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