Question

A community is considering raising funds to pay for improvements to the community swimming pool. To measure
the level of interest, community leaders survey patrons of the community pool on a Saturday afternoon. Of the 103 patrons surveyed, 87 approve of raising funds to pay for improvements. Which of the following is a true statement regarding the design and results of the survey?

O This is a convenience sample and is representative of community support.

O This is a convenience sample and likely overestimates support for raising funds.

O This is a voluntary response sample and likely overestimates support for raising funds.

O This is a voluntary response sample and likely underestimates support for raising funds.

Answer 1

Using sampling concepts, it is found that the correct option is:

This is a convenience sample and likely overestimates support for raising funds.

How are samples classified?

Samples may be classified as:

• Convenient: Drawn from a conveniently available pool.

• Random: All the options into a hat and drawn some of them.

• Systematic: Every kth element is taken.

• Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

• Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

In this problem, people at the pool were surveyed, hence it is a convenience sampling.

Also, since it only involved pool users, the proportion may be overestimated, hence the correct option is:

This is a convenience sample and likely overestimates support for raising funds.

More can be learned about sampling concepts at https://brainly.com/question/25122507