Final answer:
The most appropriate procedure for obtaining a sample of the town's residents to determine if they will support the building of a new library is to survey a random sample of persons within each neighborhood of the town.
Step-by-step explanation:
The most appropriate procedure for obtaining a sample of the town's residents to determine if they will support the building of a new library would be to survey a random sample of persons within each neighborhood of the town. This method, called stratified sampling, ensures that the sample represents the diversity of the town's residents and reduces the potential bias that could arise by only surveying certain neighborhoods or groups of people.