Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this problem step by step, focusing on the statistical concept of stratified sampling.
Step 2:: Understand Stratified Sampling
Stratified sampling is a sampling technique where the population is divided into subgroups (strata) based on shared characteristics. The goal is to ensure that each stratum represents a specific segment of the population.
Step 3:: Analyze the Key Claim
The statement claims that in a stratified sample, the number of individuals in each stratum must be exactly equal.
Step 4:: Evaluate the Claim
This claim is FALSE. In stratified sampling, the key requirement is not equal sample sizes, but rather: - Each stratum should be representative of its population segment - The sampling should capture the variation within each stratum - The sample size can vary based on the stratum's characteristics and population distribution
Step 5:: Reasoning
- Strata can have different sizes naturally reflecting population demographics - What matters is that each stratum adequately represents its population segment - Proportional representation is more important than equal absolute numbers
Step 6:: Identify the Correct Answer
\text{False, because as long as each stratum has a threshold number of individuals representative of the variation in the population, results are meaningful.}
The correct answer is Option B:
Final Answer
The number of individuals in each stratum does not need to be exactly equal, as long as each stratum adequately represents its population segment.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students