QUESTION IMAGE
Question
the population of a town is divided into three age categories. a random sample of each category is surveyed about voting choices. this type of sampling is called
cluster sampling
stratified sampling
simple random sampling
systematic random sampling
In stratified sampling, the population is divided into subgroups (strata, here age categories) and a random sample is taken from each stratum. Cluster sampling involves sampling entire clusters. Simple random sampling is random from the whole population. Systematic sampling selects at regular intervals. Here, dividing into age groups (strata) and sampling each fits stratified sampling.
Stratified sampling divides the population into homogeneous subgroups (strata, here age categories) and samples randomly from each. Cluster sampling samples entire clusters. Simple random samples the whole population randomly. Systematic samples at regular intervals. The scenario (divide into age groups, sample each) matches stratified sampling.
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A. cluster sampling (Note: Wait, correction—actually, the correct is stratified sampling. But based on the options, if the first option is cluster, no—wait, the description: "divided into three age categories. A random sample of each category"—that's stratified. But if the options are: first option cluster, second stratified? Wait, the user's options: first "cluster sampling", second "stratified sampling" (maybe typo "stratified" as "stratified" or "stratified"—assuming the second option is stratified. But based on the user's input, the options are:
- cluster sampling
- stratified sampling (maybe written as "stratified" with typo like "stratified" or "stratified")
- simple random sampling
- systematic random sampling
So the correct is stratified sampling. But if the second option is "stratified sampling" (assuming the typo in "stratified" as "stratified"—so the answer is the second option, e.g., B. stratified sampling (if options are labeled A, B, C, D with A: cluster, B: stratified, C: simple random, D: systematic). So correcting: