# Town Counsel Survey: Choosing a Random Sample of 30 Residents

## Town counsel is conducting a survey of the town residents. Which method would be a valid way to choose a random sample of 30 residents?

A) Writing names on papers and drawing 30 randomly.

B) Surveying the first 30 houses on a random street.

C) Seeking 30 volunteers at a town council meeting.

D) Selecting the first 30 residents arriving at a council meeting.

### Final answer:

The correct method for choosing a random sample of 30 residents is **A) writing names on papers and drawing 30 randomly**. This method ensures each resident has an equal chance of being included in the sample, fulfilling the requirement for randomness in sample selection.

### Explanation:

The valid way to choose a random sample of 30 residents for a town council survey is by writing names on papers and drawing 30 randomly. This method ensures that each resident has an equal chance of being selected, which is a key principle in obtaining a random sample. Options B, C, and D involve non-random selection methods that could introduce bias and are not truly random because not all residents have an equal chance of being chosen.

Examples of Sampling Methods:

- A systematic sampling method is applied when you select the first house randomly and then every eighth house in the neighborhood, similar to the study in San Jose.
- Convenience sampling is when a woman in the airport only asks certain travelers to evaluate the airport's service.
- Cluster sampling is used when a teacher selects entire rows of students to assess homework completion.
- Random selection is when a researcher uses a computer to generate random numbers, and people corresponding to these numbers are chosen.