State Populations Currently, California has the largest popula...

Question

State Populations Currently, California has the largest population with 39,776,830 residents, and Wyoming has the smallest population with 573,520 residents.

e. If we randomly select two states and survey all of their adult residents, what type of sample is obtained? (random, systematic, convenience, stratified, cluster)

Accepted Answer

All right. Hello, everyone. So this question says, if we randomly select two school districts and survey all of their teachers, what type of sample is obtained? Option A says systematic sampling. B says convenient sampling. C says stratified sampling, D says cluster sampling, and E says simple random sample. So let's take a moment to understand the different sampling types, starting off with systematic. Now, in systematic sampling, what you're doing is selecting the nth individual from a greater list of people. So an example would be if you had 100 individuals to choose from, selecting every 5th individual would be an example of systematic sampling. Now convenient sampling on the other hand. Is more about ease of access. So you're sampling based on which groups of people are most easily available to you. Now, in stratified sampling, the key word is strata, which describes different subgroups. And so in A scenario where stratified sampling is appropriate, what you do is take a greater population and divide it into subgroups known as strata. From there, you would sample individuals from each subgroup. Last but not least or not last. But here, in cluster sampling, what you're doing is selecting entire groups of people as opposed to sampling individuals. Last but not least. We have the simple random sample where each person has an equal chance of being selected. So now going back to the example. In this context, Two school districts were randomly selected and all teachers from each district. We sampled. Notice that distinction, right? You could say that each school district is a subgroup, but the difference is that all the teachers from the district are being sampled. So therefore, Right, the key word here is that the entire district was chosen as opposed to the individual teachers from each district. This aligns more with cluster sampling. Where the predefined groups are selected as a whole. Therefore, option D is correct because cluster sampling is most appropriate here. And there you have it. So with that being said, thank you so very much for watching, and I hope you found this helpful.

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Key Concepts

Sampling Methods

Cluster Sampling

Stratified Sampling

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