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Chapter 1: Problem 9

Determine whether the underlined value is a parameter or a statistic. In a national survey of 1300 high school students (grades 9 to 12 ), \(32 \%\) of respondents reported that someone had bullied them at school. Source: Bureau of Justice Statistics

Short Answer

Expert verified
The underlined value is a statistic.

Step by step solution

01

Understand the Definitions

A parameter is a numerical value that describes a characteristic of a population. A statistic is a numerical value that describes a characteristic of a sample from the population.
02

Identify the Underlined Value

The underlined value is '32 % of respondents reported that someone had bullied them at school.'
03

Determine the Scope of the Value

The value of 32% is derived from a survey of 1300 high school students. This indicates that the 1300 students are a sample, not the entire population of high school students.
04

Classify the Value

Since the value comes from a sample of the population, 32% is a statistic, not a parameter.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Survey Analysis
A survey is a common method of data collection used to gather information from a sample.
Survey analysis involves compiling and interpreting the data collected from respondents.
In the given example, a national survey of 1300 high school students was conducted.
Here, 32% of respondents reported being bullied at school.

The result of 32% reflects the experiences of the 1300 surveyed, not the entire population of high school students.
This is an example of using a **statistic** (32%) to infer information about the broader **population** (all high school students).
Accurate survey analysis helps in making informed decisions and understanding trends within the population.
It's vital to ensure that the sample is properly selected and that the data is accurately interpreted.

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