Question

identifying when to use a sample

for which survey is a sample not necessary?
what percentage of colorado residents support planting more trees in the community?
which electronic gadget will be the most popular among middle school students this year?
do your classmates prefer warm or cool places to travel for vacation?
how many car accidents involve air bag malfunctions?

Explanation:

To determine for which survey a sample is not necessary, we analyze each option:

1. “What percentage of Colorado residents support planting more trees in the community?”

Colorado has a large population of residents. Surveying every resident (census) is impractical, so a sample is needed.

1. “Which electronic gadget will be the most popular among middle school students this year?”

There are many middle school students across regions. Surveying all is not feasible, so a sample is used.

1. “Do your classmates prefer warm or cool places to travel for vacation?”

The population here is “your classmates” – a small, accessible group. You can survey all classmates (census) instead of a sample, as the group is manageable.

1. “How many car accidents involve air bag malfunctions?”

This requires data on all car accidents (or a comprehensive dataset), but typically, a sample of accident reports might be analyzed. However, compared to the “classmates” group, “classmates” is a clearly defined, small group where a census is easy.

Among these, the survey about classmates’ vacation preferences (“Do your classmates prefer warm or cool places to travel for vacation?”) can be conducted on the entire population (all classmates) without needing a sample, as the group is small and accessible.

Answer:

Do your classmates prefer warm or cool places to travel for vacation?