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To determine how a city’s residents feel about building a new youth center, a group considers surveying 50 random children at a local elementary school. Why would this result in a biased sample?

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maribelleparkson

Answer: The sample ignores the adult portion of the city’s residents.

The students were randomly chosen.

Answer: Children are probably more likely to be in favor of a new youth center.

Every city resident should have a chance of being selected.

Answer: The sample does not include children in middle school or high school.

Using sampling concepts, it is found that this could result in a biased sample due to the fact that all people are of the same age.

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.

Other forms of sampling may lead to problems such as bias. In this problem, adult and children are likely to have different opinions about building a new youth center, as for example, adults may feel that the current youth center is good enough while the children may want something improved, hence it is found that this could result in a biased sample due to the fact that all people are of the same age.

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

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