Question

the government of a large city needs to determine whether the citys residents will support the construction of a new gymnasium. the government decides to conduct a survey of a sample of the citys residents. which one of the following procedures would be the most appropriate for obtaining a sample of the citys residents? survey a random sample of the future employees of the new gymnasium. survey every fourth person to go to the local night club. survey the last 100 residents listed in the telephone directory. survey a random sample of persons within each neighborhood.

Explanation:

• Surveying future employees of the new gymnasium is biased as they have a vested interest in the gymnasium being built.
• Surveying people at a local night - club is a convenience sample and may not represent all city residents (e.g., those who don't go to night - clubs are excluded).
• Surveying the last 100 residents in the telephone directory is a non - random and potentially biased sample (e.g., people not in the directory are excluded, and the last 100 may not be representative).
• Surveying a random sample of persons within each neighborhood is a form of stratified sampling (if neighborhoods are considered strata). It helps ensure that different parts of the city (different neighborhoods) are represented, and random sampling within each neighborhood helps in getting an unbiased sample from each part.

Answer:

Survey a random sample of persons within each neighborhood.