Question

classify each of the sampling procedures below.
sampling procedure

• a researcher studying a population of 1,000 might wish to choose a random sample of 50 people. first, each person is numbered 1 through 1,000. then, you generate a list of 50 random numbers, typically with a computer program, and the individuals assigned those numbers are the ones included in the sample.
• a study’s target population is church members in the united states. there is no list of all church members in the country. the researcher, however, creates a list of churches in the united states, chooses a random sample of churches, and then obtains lists of members from those churches.
• the researcher first organizes the population by college class and then selects appropriate numbers of freshmen, sophomores, juniors, and seniors.
• the population of study contains 2,000 students at a high school and the researcher wants a sample of 100 students, the students are put into list form and then every 20th student would be selected for inclusion in the sample. to ensure against any possible human bias in this method, the researcher selects the first individual at random.

*note: one of the options is cluster sampling which is a sampling method for selecting a random sample by dividing the population into groups and using simple random sampling to select a set of groups from which every object is included in the sample. such an option is called a distractor, and the correct answer can still be determined by elimination.
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Explanation:

First Sampling Procedure:

Step1: Identify Sampling Type

The procedure involves numbering each individual (1 - 1000) and then generating random numbers to select 50 individuals. This is Simple Random Sampling (SRS) as each individual has an equal chance of being selected, and selection is done randomly after numbering.

Step1: Analyze Sampling Steps

The population (church members) is divided into groups (churches). Then a random sample of groups (churches) is chosen, and all members from those groups are included. This matches Cluster Sampling (even though the note says it's a distractor, the description here fits cluster sampling: dividing into clusters, sampling clusters, and including all in sampled clusters).

Step1: Recognize Sampling Method

The population is organized by college class (groups: freshmen, sophomores, juniors, seniors), and then appropriate numbers (proportional or not) from each group are selected. This is Stratified Sampling, where the population is divided into strata (groups with similar characteristics) and samples are taken from each stratum.

Answer:

Simple Random Sampling

Second Sampling Procedure: