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Ch. 1 - Introduction to Statistics
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446Not the one you use?Change textbook
All textbooksTriola 14th EditionCh. 1 - Introduction to StatisticsProblem 1.3.15
Chapter 1, Problem 1.3.15

In Exercises 9–20, identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster.
Criminology Researchers randomly selected 50 convicted felons from each category of burglary, auto theft, and assault.

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Identify the different categories mentioned in the problem: burglary, auto theft, and assault.
Understand that the researchers are selecting a specific number of individuals (50) from each category.
Recognize that the selection of individuals from each category is done randomly.
Note that the categories represent different strata or groups within the population of convicted felons.
Conclude that this method of sampling, where random samples are taken from each stratum, is known as stratified sampling.

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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 where the population is divided into distinct subgroups, or strata, that share similar characteristics. Researchers then randomly select samples from each stratum to ensure representation across these groups. This technique is particularly useful when researchers want to ensure that specific segments of the population are adequately represented in the sample.
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Sampling Distribution of Sample Proportion

Random Sampling

Random sampling is a technique where each member of the population has an equal chance of being selected. This method helps to eliminate bias and ensures that the sample is representative of the entire population. In the context of the question, the researchers randomly selected individuals from each category, which is a key feature of random sampling.
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Population and Sample

In statistics, the population refers to the entire group of individuals or instances that researchers are interested in studying, while a sample is a subset of that population selected for analysis. Understanding the distinction between these two concepts is crucial, as the sample should accurately reflect the characteristics of the population to draw valid conclusions.
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