give an example of how you would create a sample from the population of the united states using cluster…

give an example of how you would create a sample from the population of the united states using cluster sampling and stratified sampling. then, compare and contrast these two methods.

give an example of how you would create a sample from the population of the united states using cluster sampling and stratified sampling. then, compare and contrast these two methods.

Answer

Brief Explanations:

Cluster Sampling Example: Divide the US into states (clusters). Randomly select a few states, and then sample all individuals within those selected states. For instance, randomly pick California, New York, and Texas, and survey everyone in those three states. Stratified Sampling Example: First, divide the US population into strata based on a characteristic like age - groups (e.g., 18 - 25, 26 - 40, 41 - 60, 61+). Then, from each age - group stratum, randomly select a proportionate number of individuals. For example, if 20% of the US population is in the 18 - 25 age - group, ensure that 20% of the sample comes from this age - group. Comparison: In cluster sampling, the population is divided into clusters and whole clusters are selected. It is often more convenient and cost - effective for large populations. In stratified sampling, the population is divided into homogeneous strata based on a relevant characteristic, and samples are taken from each stratum. This ensures that all subgroups in the population are represented proportionally, which can lead to more accurate estimates.

Answer:

Cluster Sampling Example: Randomly select a few states (e.g., California, New York, Texas) and sample all individuals in them. Stratified Sampling Example: Divide by age - groups and sample proportionally from each group. Comparison: Cluster sampling selects whole clusters, is convenient; stratified sampling divides by characteristic and samples proportionally for better representation.