Determine whether the following statement is true or false. Explain.
When obtaining a stratified sample, th...

Question

Determine whether the following statement is true or false. Explain.
When obtaining a stratified sample, the number of individuals included within each stratum must be equal.

Choose the correct answer below.
$\bigcirc$ A. True, because if there is a stratum with more or less individuals, it will be weighted more or less than the other strata. This will introduce bias.
$\oplus$ B. False, because as long as each stratum has a threshold number of individuals representative of the variation in the population, results are meaningful. The number of individuals does not need to be exactly equal.
$\bigcirc$ C. True, because if some strata have significantly less individuals than others, there can be no meaningful results from them.
$\bigcirc$ D. False. The individuals in each stratum must be homogenous.

CramX · Accepted Answer

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. 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.

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QuestionAnatomy and Physiology

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Step 1:
I'll solve this problem step by step, focusing on the statistical concept of stratified sampling.

Step 2:
: Understand Stratified Sampling

Step 3:
: Analyze the Key Claim

Final Answer

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