QuestionClassify the following as a random, systematic, stratified, or cluster sampling. A company has 1000 employees, of whom 800 are full-time and 200 are part-time. Twenty employees are randomly selected from each group and asked to complete a survey about their opinions regarding benefits. -- Select an Option --
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STEP 1
1. We understand that there are 1000 employees in total, divided into two groups: full-time and part-time.
2. Full-time employees are 800 in number, while part-time employees are 200 in number.
3. Twenty employees are selected randomly from each group for the survey about their opinions regarding benefits.
STEP 2
1. Define and review the types of sampling methods.
2. Analyze the given sampling procedure.
3. Classify the sampling method based on the analysis.
STEP 3
Define and review the four main types of sampling methods:
1. Random Sampling: Each member of the population has an equal chance of being selected.
2. Systematic Sampling: Members are selected at regular intervals from an ordered list.
3. Stratified Sampling: The population is divided into subgroups (strata) that share similar characteristics, and random samples are taken from each stratum.
4. Cluster Sampling: The population is divided into clusters, some of which are randomly selected, and all members of the chosen clusters are surveyed.
STEP 4
Analyze the given sampling procedure: - The population of 1000 employees is divided into two groups: full-time (800) and part-time (200). - Twenty employees are randomly selected from each group.
STEP 5
Classify the sampling method based on the analysis:
- The procedure divides the population into subgroups (strata) based on employment type.
- Random samples (twenty from each group) are taken from each subgroup.
This matches the definition of Stratified Sampling.
Thus, the sampling method used in this scenario is Stratified Sampling.
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