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As part of a statistics project, Charlie would like to collect data on household size in his city. To do so, he asks each person in his statistics class for the size of their household and reports the results of a simple random sample. However, this is not a simple random sample. Why?
(a) Charlie did not use any randomization; he took a convenience sample.
(b) Charlie did not use a random number table to randomize the order in which he collected the students' responses, so the sample cannot be random.
(c) In this investigation of household size, each household represents a case. Charlie incorrectly sampled individuals instead of households.
(d) Both (a) and (c) are correct.
(e) Answers (a), (b), and (c) are all correct.

Sagot :

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

(a) Charlie did not use any randomization; he took a convenience sample.

How are samples classified?

  • 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, his classroom is the most convenient sampling method, hence it is a convenient sample, hence option a is correct.

You can learn more about sampling concepts at https://brainly.com/question/25122507

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