The correct definition of a simple random sample is:

"A simple random sampling is an independent sample of size $n$ from a population $N$ where each person has the same chance of being chosen."

Explanation:

• In a simple random sample, every individual in the population has an equal probability of being selected.
• The selection process is independent, meaning the choice of one individual does not influence the choice of another.
• This ensures that the sample is representative of the population, provided the sample size $n$ is sufficient.

Would you like more examples or an explanation on how to apply this concept?

Related Questions:

1. What is the difference between a simple random sample and a stratified random sample?
2. How can we generate a simple random sample using statistical software like Excel or Python?
3. Why is independence important in simple random sampling?
4. What are some practical challenges in achieving a truly simple random sample?
5. How does sample size $n$ impact the accuracy of conclusions drawn from a simple random sample?

Tip:

When creating a simple random sample, use random number generators or software tools to ensure fairness and avoid selection bias.