Is a sample in which every member of the population has an equal chance of being chosen

Is a sample in which every member of the population has an equal chance of being chosen

• A. Convenience sample
• B. Systematic sample
• C. Simple Random sample
• D. Stratified sample

Answer: (C)

The main idea here is that every member of the population has the same chance of being chosen, which is what a simple random sample guarantees. In a simple random sample, no individual is more likely to be included than any other, and all possible samples of the desired size are equally likely. This is typically done by assigning random numbers to everyone and selecting the required number of individuals, or by using a random-number generator. Why this fits best: the equal-probability criterion is the defining characteristic of a simple random sample, ensuring no systematic bias in selection. Other methods rely on ease of access (convenience), follow a fixed rule (systematic) that can introduce patterns, or stratify the population into subgroups and sample within them (stratified) for representativeness, which changes the basic equal-chance idea unless specifically designed to preserve it.

The main idea here is that every member of the population has the same chance of being chosen, which is what a simple random sample guarantees. In a simple random sample, no individual is more likely to be included than any other, and all possible samples of the desired size are equally likely. This is typically done by assigning random numbers to everyone and selecting the required number of individuals, or by using a random-number generator.

Why this fits best: the equal-probability criterion is the defining characteristic of a simple random sample, ensuring no systematic bias in selection. Other methods rely on ease of access (convenience), follow a fixed rule (systematic) that can introduce patterns, or stratify the population into subgroups and sample within them (stratified) for representativeness, which changes the basic equal-chance idea unless specifically designed to preserve it.