Choosing a sample of size n at random is statistically equivalent to first identifying all possible samples of size n in the population and then picking one of these samples randomly.

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Quizplus · Accepted Answer

This statement is true and is known as the random sampling principle. In theory, every possible sample of size n has an equal chance of being selected when a random sample of size n is chosen from the population. However, in practice, obtaining a list of all possible samples of size n in a population is often not feasible, and random sampling techniques are used instead.

Choosing a Sample of Size N at Random Is Statistically