Question

identify the sampling technique used to obtain a sample.

a famous magazine chooses its \worst-dressed comedians\ by compiling responses from readers who mail in a survey printed in the magazine.

what type of sampling is used?

systematic sampling
cluster sampling
random sampling
stratified sampling
convenience sampling

Explanation:

Analyze the sampling scenario

The scenario describes a magazine that compiles responses from readers who voluntarily mail in a survey printed in the magazine. This means the respondents choose whether or not to participate in the sample.

Evaluate the sampling options

• Systematic sampling: Selecting every \(k\)-th individual from a list. This is not used here.
• Cluster sampling: Dividing the population into groups (clusters) and selecting all individuals from randomly chosen clusters. This is not used here.
• Random sampling: Every member of the population has an equal chance of being selected. This is not used here.
• Stratified sampling: Dividing the population into subgroups (strata) and sampling from each. This is not used here.
• Convenience sampling: Selecting individuals who are easy to reach or who voluntarily choose to participate (often referred to as voluntary response sampling, which is a type of convenience sampling).

Determine the correct technique

Since the sample consists entirely of readers who voluntarily mail in the survey, it relies on self-selection. This is a form of convenience sampling.

Answer:

• Systematic sampling
• Cluster sampling
• Random sampling
• Stratified sampling
• Convenience sampling (Correct answer)