A sample is random if _________.
A) each possible sample of a given size has an equal chance of being selected
B) all members of the population have an equal chance of being selected into the sample
C) all members of the sample have an equal chance of being selected
D) a, or a and b
E) a and c

Question

Quizplus · Accepted Answer

A random sample is one in which each possible sample of a given size has an equal chance of being selected. This means that no particular sample is favored or intentionally selected over any other sample. This ensures that the sample is representative of the population from which it is drawn.

In order for a sample to be truly random, all members of the population should have an equal chance of being selected into the sample. This is known as random sampling or probability sampling.

Therefore, a sample can be considered random if either option A or B is true, or if both are true (option D). Option C, on the other hand, refers to equal chance of selection within the sample itself, which is important for certain types of sampling techniques (such as stratified sampling), but does not necessarily indicate that the sample is overall random.

A Sample Is Random If _________