Catherine Cho needs a sample of households to participate in the testing of a new toothpaste. She estimates there are approximately 69,000 entries in the residential pages of the telephone directory, randomly selects 152 as the starting point, and instructs her staff to select every 227th entry. Catherine’s sample is a ......

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BlackTom AI · Accepted Answer

Catherine Cho’s procedure involves selecting a starting point at random and then picking every k-th entry from the ordered list, which is the hallmark of systematic sampling.
Option 1: simple random. This would require each entry to have an equal chance of selection independently, typically via randomization like a random number generator for each unit; Catherine’s method imposes a fixed interval, so this is not simple random sampling.
Option 2: Cluster. Cluster sampling would involve dividing the population into clusters and sampling entire clusters or a subset of clusters; there is no clustering or grouping described here, just a fixed interval selection.
Option 3: Systematic. This matches the described process: a random start and a fixed periodic interval (every 227th entry) to form the sample, which is the essence of systematic sampling.
Option 4: Stratified. Stratified sampling would require dividing the population into strata (subgroups) and sampling within each stratum, ensuring representation across strata; there is no indication of strata or proportional allocation in the described method.

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