Question
Suppose you are interested in knowing the average weekly allowance of children who attend the Maplewood elementary schools. You take a sample of students by first grouping their families by income levels (low, medium and high) and then taking a random sample from cach income group. This is an example of what kind of sampling design? A. systematic sample with random start D. simple random sample B. single-stage cluster sample E. two-stage cluster sample C. stratified random sample
Answer
4
(213 Votes)
Thomas
Master · Tutor for 5 years
Answer
C (Stratified Random Sample)
Explanation
The sampling design described in the question involves grouping families by income levels (low, medium, and high) and then taking a random sample from each income group. This method is known as stratified random sampling. In stratified random sampling, the population is divided into subgroups or strata based on a certain characteristic, in this case, income levels. Then, within each stratum, a random sample is taken. This approach is used to ensure that each subgroup is adequately represented in the sample. The other options provided do not accurately describe this method:- A systematic sample with a random start (Option A) would involve selecting a sample from the population at regular intervals, starting from a random point.- A simple random sample (Option D) would involve selecting a sample in such a way that every possible sample of the desired size has the same chance of being chosen from the population, without any initial stratification.- A single-stage cluster sample (Option B) would involve dividing the population into clusters and then randomly selecting entire clusters, with all members of selected clusters being included in the sample.- A two-stage cluster sample (Option E) is similar to a single-stage cluster sample, but after selecting the clusters, a random sample of elements within those clusters is chosen, rather than including all members of the clusters.