Question

identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. a man experienced a tax audit. the tax department claimed that the man was audited because every 20,000th person on the taxpayer list was being audited. which type of sampling did the tax department use?
options: stratified sampling, systematic sampling, cluster sampling, convenience sampling, random sampling

Explanation:

Systematic sampling involves selecting every \( n \)-th element from a population. Here, the tax department audited every 20,000th person on the taxpayer list, which fits the definition of systematic sampling (selecting at regular intervals). Random sampling is random selection, convenience is based on ease/accessibility, stratified divides into groups and samples from each, and cluster divides into clusters and samples entire clusters—none of these match the "every 20,000th" selection here.

Answer:

Systematic sampling (the option labeled "Systematic sampling")