With a probability sample ________.

Question

BlackTom AI · Accepted Answer

When evaluating the statement in a probability sampling context, we must compare each option against the defining feature of probability sampling. 
Option: 'convenience is the key determinant of who participates' This describes convenience sampling, not probability sampling, because participants are chosen based on ease of access rather than a random mechanism.
Option: 'a researcher uses personal judgment to select participants' This describes purposive or judgmental sampling, which again relies on the researcher's discretion rather than a defined random chance for each member.
Option: 'every member of the population is included in the sample' This would be a census, not a sample drawn by probability principles, and it does not involve sampling randomness or known inclusion probabilities—we’re not sampling, we’re including everyone.
Option: 'each member of the population has a known chance of being included in the sample' This aligns with probability sampling, where each unit has a nonzero, typically specified probability of selection, enabling unbiased estimation and calculable sampling error. It embodies the core idea of randomness and transparency about inclusion probabilities.
Option: 'the observation method is used to select people who appear most willing to participate' This implies self-selection based on willingness, which introduces selection bias and does not reflect probability-based sampling.
Overall, the options contrast methods that rely on randomness and known selection probabilities with those that rely on convenience, judgment, or self-selection. The one that correctly captures the essence of probability sampling emphasizes that every member has a known chance of inclusion, enabling formal inferences based on probabilistic theory.

With a probability sample ________.Single choice

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