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

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
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Solution

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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.

Final Answer

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