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Ch. 1 - Introduction to Statistics
Larson - Elementary Statistics: Picturing the World 8th Edition
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470Not the one you use?Change textbook
All textbooksLarson 8th EditionCh. 1 - Introduction to StatisticsProblem 1.3.9
Chapter 1, Problem 1.3.9

Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
The method for selecting a stratified sample is to order a population in some way and then select members of the population at regular intervals.

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Understand the concept of stratified sampling: Stratified sampling involves dividing the population into distinct subgroups (strata) based on a shared characteristic, and then selecting a sample from each stratum. This ensures representation from all subgroups.
Compare the statement to the definition of systematic sampling: Systematic sampling involves ordering the population and selecting members at regular intervals, which is different from stratified sampling.
Identify the error in the statement: The statement incorrectly describes systematic sampling as the method for selecting a stratified sample.
Rewrite the statement to make it true: 'The method for selecting a stratified sample is to divide the population into subgroups (strata) based on a shared characteristic and then randomly select members from each subgroup.'
Conclude that the original statement is false and provide the corrected version for clarity.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Stratified Sampling

Stratified sampling is a method of sampling that involves dividing a population into distinct subgroups, or strata, that share similar characteristics. The goal is to ensure that each subgroup is adequately represented in the sample. This technique is particularly useful when researchers want to analyze specific segments of a population, such as age groups or income levels, to draw more accurate conclusions.
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Sampling Distribution of Sample Proportion

Systematic Sampling

Systematic sampling is a method where researchers select members of a population at regular intervals after an initial random start. For example, if a researcher decides to sample every 10th individual from a list, they would randomly select a starting point and then continue selecting every 10th person. This method is different from stratified sampling, as it does not focus on specific subgroups but rather on a uniform selection process.
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Sampling Distribution of Sample Proportion

True/False Statements in Research

In research, true/false statements are often used to assess understanding of concepts or methods. Determining the truth value of a statement requires a clear understanding of the definitions and applications of the terms involved. In this case, recognizing the distinction between stratified and systematic sampling is essential to accurately evaluate the statement and provide a correct revision if necessary.
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