Question

The local school board needs to choose whether to build an addition to the elementary school library or remodel the high school basketball court. Which sampling option might the board choose to survey the community? Why is it important to avoid a smaller sample size?

a) Random sampling; to ensure representative results
b) Convenience sampling; to save time and resources
c) Stratified sampling; to capture diverse opinions
d) Purposive sampling; to target specific groups

Answer 1

The local school board would most likely choose stratified sampling to survey the community in order to capture diverse opinions from different segments. It's important to avoid a smaller sample size to ensure accurate and reliable results.

Step-by-step explanation:

In this case, the local school board would most likely choose stratified sampling to survey the community. Stratified sampling involves dividing the population into different groups or strata based on certain characteristics, such as age, gender, or location. Each stratum is then represented proportionally in the sample. This method ensures that diverse opinions from different segments of the community are captured.

It is important to avoid a smaller sample size because a small sample may not accurately represent the entire population. The smaller the sample size, the greater the likelihood of sampling bias and the less reliable the survey results. A larger sample size provides a more accurate representation of the population and increases the chances of obtaining reliable data.