Which of the following meets the requirements of a simple random sample?
A) A population contains 10 members under the age of 25 and 20 members over the age of 25. The sample will include six people who volunteer for the sample.
B) A population contains 10 members under the age of 25 and 20 members over the age of 25. The sample will include six people chosen at random, without regard to age.
C) A population contains 10 members under the age of 25 and 20 members over the age of 25. The sample will include six males chosen at random, without regard to age.
D) A population contains 10 members under the age of 25 and 20 members over the age of 25. The sample will include two people chosen at random under the age of 25 and four people chosen at random over 25.

Question

Quizplus · Accepted Answer

A simple random sample is a sample in which each member of the population has an equal chance of being selected and the selection process is completely random. Option B meets these requirements as it specifies choosing six people at random without regard to age. Option A only includes those who volunteer, which means it is not representative of the entire population and may introduce bias. Option C only includes males, which is not representative of the entire population. Option D divides the population into two groups and samples them separately, which can also introduce bias.

Which of the Following Meets the Requirements of a Simple