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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
Chapter 1, Problem 1.1.27

"Identify the population and the sample. Describe the sample data set.
A survey of 1500 U.S. adults found that 59% have never had a vaccine reaction. (Source: SingleCare)"

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Step 1: Understand the definitions of population and sample. The population refers to the entire group of individuals or objects that we want to study, while the sample is a subset of the population that is actually observed or surveyed.
Step 2: Identify the population in the problem. The population is all U.S. adults, as the survey aims to understand vaccine reactions among this group.
Step 3: Identify the sample in the problem. The sample consists of the 1500 U.S. adults who were surveyed. This is the subset of the population used to gather data.
Step 4: Describe the sample data set. The sample data set includes information about the 1500 surveyed U.S. adults, specifically the proportion (59%) who reported never having a vaccine reaction.
Step 5: Note the source of the data. The data was collected from SingleCare, which provides context and credibility to the survey results.

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Key Concepts

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

Population

In statistics, the population refers to the entire group of individuals or instances about whom we want to draw conclusions. In this context, the population consists of all U.S. adults, as the survey aims to understand their experiences with vaccine reactions.
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Sample

A sample is a subset of the population selected for analysis. In this case, the sample comprises 1,500 U.S. adults surveyed to gather data on vaccine reactions. The sample should ideally represent the population to ensure the findings are generalizable.
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Sample Data Set

The sample data set includes the specific responses collected from the surveyed individuals. Here, it indicates that 59% of the 1,500 adults reported never having a vaccine reaction, providing insight into the broader population's experiences and perceptions regarding vaccines.
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