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A researcher wants to estimate average annual healthcare spending across two regions using stratified sampling with a fixed budget of $12,000. Data: Region A: N_A = 100,000, σ_A = $800, cost per interview = $30; Region B: N_B = 50,000, σ_B = $1,200, cost per interview = $40. Under budget-constrained optimal allocation, the allocation proportions follow:
Approximately how many interviews should be conducted in Region A and B respectively?
A researcher wants to estimate average annual healthcare spending across two regions using stratified sampling with a fixed budget of $12,000. Data: Region A: N_A = 100,000, σ_A = $800, cost per interview = $30; Region B: N_B = 50,000, σ_B = $1,200, cost per interview = $40. Under budget-constrained optimal allocation, the allocation proportions follow:
Approximately how many interviews should be conducted in Region A and B respectively?