Main content
Course: AP??/College Statistics?>?Unit 9
Lesson 5: Sampling distributions for differences in sample proportions- Sampling distribution of the difference in sample proportions
- Mean and standard deviation of difference of sample proportions
- Shape of sampling distributions for differences in sample proportions
- Sampling distribution of the difference in sample proportions: Probability example
- Differences of sample proportions — Probability examples
? 2024 Khan AcademyTerms of usePrivacy PolicyCookie Notice
Shape of sampling distributions for differences in sample proportions
You might need: Calculator
Problem
Suppose that of all cars produced at Plant A have a certain defect, and of all cars produced at Plant B have this defect. A quality control manager takes separate random samples of cars from each plant. The manager will then look at the difference between the proportions of cars with the defect in each sample.
What will be the shape of the sampling distribution of the difference in sample proportions, and why?