A researcher enters the ID numbers of the 150 students in her class into a random number generator and then selects 35 students to participate in an active learning activity. This sampling method is

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Multiple Choice

A researcher enters the ID numbers of the 150 students in her class into a random number generator and then selects 35 students to participate in an active learning activity. This sampling method is

Explanation:
This question tests the idea of selecting a subset from a population using a random mechanism so that every individual has an equal chance of being chosen. By using a random number generator on the full list of IDs to pick 35 distinct students, each possible group of 35 is equally likely, which is the hallmark of simple random sampling. This method aims to avoid biases that come from handpicking or following a pattern. In contrast, convenience sampling would pick students based on who is easiest to reach; systematic sampling would involve a regular pattern (like every kth student) after a random start; quota sampling would require filling specific subgroups to meet predefined numbers, regardless of randomness. The described approach aligns with simple random sampling because it relies on randomness to determine participants, not on ease of access, a pattern, or quota constraints.

This question tests the idea of selecting a subset from a population using a random mechanism so that every individual has an equal chance of being chosen. By using a random number generator on the full list of IDs to pick 35 distinct students, each possible group of 35 is equally likely, which is the hallmark of simple random sampling. This method aims to avoid biases that come from handpicking or following a pattern.

In contrast, convenience sampling would pick students based on who is easiest to reach; systematic sampling would involve a regular pattern (like every kth student) after a random start; quota sampling would require filling specific subgroups to meet predefined numbers, regardless of randomness. The described approach aligns with simple random sampling because it relies on randomness to determine participants, not on ease of access, a pattern, or quota constraints.

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