A research group is interested in gauging perceptions about costs of textbooks a

Question

A research group is interested in gauging perceptions about costs of textbooks among college students. Specifically, they wish to determine the percentage of first year students in the United States that believe costs of textbooks are too expensive. They listed the students of the state run universities in alphabetical order and took every tenth student until they succeeded in contacting 150 students. What kind of sampling method have they used? Choose the correct answer below. Stratified random sampling Multistage sampling Systematic sampling Cluster sampling

Explanation / Answer

The correct option is B) systematic sampling

Explaination:

Option A is not correct: Because in stratified sampling first we make strata such that the unit among the strata are homogeneous and between heterogeneous. Then draw random sample from each strata based on optimum allocation (or proportion allocation). In the given example the student arranged and not stratified also sample selected from the list of every 10th unit and not random.

Option B is not correct :

Because in multistage sampling first select some clusters as a sample then from the selected clusters again we select some groups and then we select random number from the latest group. But here we don't have selection of clusters (groups) again selection of groups and so on. So the option B is incorrect.

Option C is correct: In systematic sampling first arrange the given data and make list of the data then select the units from the equal distance. Here first we decide the pattern and then select every (k-th) unit from the list. So option C is correct.

Option D is not correct) In cluster sampling first divide the total population in groups called as clusters then select some clusters from them and study all the units from the selected clusters. The above process of sampling does not follow definition of cluster sampling so that option D is not correct option.

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