A town planner is interested in getting some demographic data about the households in the city. The city has four wards with the following numbers of households: ward A has 2,107, ward B has 903, ward C has 1,505, and ward D has 1,499. The budget for the project allows the planner to survey 100 households. She plans to use a stratified sampling method. How many households should be chosen from ward B? Enter a whole number.

Question

Harry Carlson

Mathematics

27 April, 07:23

A town planner is interested in getting some demographic data about the households in the city. The city has four wards with the following numbers of households: ward A has 2,107, ward B has 903, ward C has 1,505, and ward D has 1,499. The budget for the project allows the planner to survey 100 households. She plans to use a stratified sampling method. How many households should be chosen from ward B? Enter a whole number.

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Dutchess · Answer 1

15

Step-by-step explanation:

Population size = 2107+903+1505+1499

= 6014

Calculating the sample of ward B by using the stratified random sampling formula:

Stratified Random Sample, np = (Np / N) * n

where

np = pth stratum sample size

Np = pth stratum population size

N = population size

n = sample size

Stratified Sample (ward B) = 100 / 6014 * 903 = 15!