A superintendent wants to survey teachers in his district to determine their opinions on the new school calendar. There are 14 different schools located in this school district. The superintendent randomly picks 4 of the 14 schools. At each of the 4 selected schools, they randomly pick 10 teachers to survey (for a total of 40 teachers). What kind of study design is this?a.Cluster Sampleb.Block Samplec.Multistage Sampled.Stratified Samplee.Simple Random Sample

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A superintendent wants to survey teachers in his district to determine their opinions on the new school calendar.  There are 14 different schools located in this school district.  The superintendent randomly picks 4 of the 14 schools.  At each of the 4 selected schools, they randomly pick 10 teachers to survey (for a total of 40 teachers).  What kind of study design is this?a.Cluster Sampleb.Block Samplec.Multistage Sampled.Stratified Samplee.Simple Random Sample

taldenmr · Accepted Answer

The population study is the set of subjects of interest. A sample is a subset of the population.In real-life cases, it will be impossible to study the entire population. In such cases, a sample is drawn from the population and studied to make inferences about the whole population.Here, the population consists of the set of all teachers in a district and a sample of teachers has to be obtained.  Multistage sampling is a sampling procedure where the sampling is done in different stages. In each stage, the sampling unit becomes smaller. Here, in the first stage, the school is the sampling unit. A sample of 4 schools has been selected from 14 schools. In the second stage, teachers are the sampling unit. A sample of 10 teachers is selected from all the schools. Thus, the given procedure is multistage sampling. Thus, option c is the correct answer.In cluster sampling, the population is divided into clusters and a sample of clusters is selected. Then, all the elements in the sample will be studied. Here, even if a school is considered a cluster, not all the teachers of a school are not selected for the sample. So, the given procedure is not cluster sampling, and hence option a is wrong.In block sampling, a point in the sampling frame is randomly selected and a block of a certain size of the element from that point is sequentially selected. This is entirely different from the given procedure; hence, option b is wrong.In stratified sampling, strata or homogenous groups are there. Here the schools cannot be considered as a stratum as no evidence to say that the teachers of a school are homogeneous. Thus, option d is wrong.In simple random sampling, a sample is directly selected from the population by a random method. There is no two-stage sampling in simple random sampling. Thus, option e is wrong.

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