Questions: What is the sampling method used in the following scenario? The librarian at a public library wants to determine what proportion of the library users are children. The librarian has a tally sheet on which she marks whether books are checked out by an adult or a child. She records this data for every fourth patron who checks out books.
systematic
cluster
convenience
stratified
simple random
Transcript text: What is the sampling method used in the following scenario? The librarian at a public library wants to determine what proportion of the library users are children. The librarian has a tally sheet on which she marks whether books are checked out by an adult or a child. She records this data for every fourth patron who checks out books.
systematic
cluster
convenience
stratified
simple random
Solution
Solution Steps
Step 1: Understand the Scenario
The scenario describes a librarian who is collecting data on whether books are checked out by adults or children. The librarian records this information for every fourth patron who checks out books.
Step 2: Identify the Sampling Method
The key detail in the scenario is that the librarian records data for every fourth patron. This indicates a systematic approach to sampling, where a fixed interval (every fourth patron) is used to select samples from the population.
Step 3: Match the Sampling Method to the Options
The options provided are:
systematic
cluster
convenience
stratified
simple random
Based on the description, the method used is systematic sampling, as the librarian uses a regular interval to select patrons for data collection.