91Ó°ÊÓ

A poll was undertaken to establish the percentage of rural subdivision families who would purchase the service. They took a basic random sample of five blocks in the development and polled every family that lived on one of them.

Divide the population into groups, or clusters, to select a cluster sample. Pick a few of these clusters at random. The sample includes all of the people in the chosen clusters.

A sample of size n is used in simple random sampling, and each sample of size $\text{'}n$ has an equal probability of being chosen. Simple random samples are obtained from independent subgroups using stratified random sampling (stratum). Cluster sampling separates the population into non-overlapping subgroups (clusters), which are subsequently included in the sample. Every $k^{th}$ participant in the sample is included in systematic random sampling ($k$ integer). A voluntary response sample is one in which the individuals can choose whether or not to participate. Convenience sampling selects a subset of the population that is easily accessible. Every family in the specified sample is surveyed, which is a random sample of $5$ blocks. As a result, the subgroups are the blocks, and the whole selected subgroup is in the sample (because every family in the block is surveyed), necessitating a cluster sample.

Assume the subdivision consists of $65$ blocks. Choose $5$ blocks to sample using technology or Table D. Cluster sampling was most likely employed for convenience, as it is faster and less expensive than an SRS or a random sample with blocking, which both require identifying and visiting a large number of residences in various regions.