A population has 100k students and a simple random sample has 10k. Find each student’s inclusion probability.
- Use the domain, units and sampling assumptions stated in the question.
Skills and prerequisite lessons
Working and explanation
BUILD THE REASONING
Hint 1
Identify the population and sampling mechanism before scaling counts.
Hint 2
All students must have the same chance under simple random sampling.
Worked solution
Identify the population and sampling mechanism before scaling counts.
Calculate or simplify this relation.
This is inclusion probability, not the fraction who will answer a survey.
The requested value is 0.1.
Checks and common pitfalls: This is inclusion probability, not the fraction who will answer a survey.
Think first. Reveal a hint when the class is ready.