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The Institute for Public Opinion Research at Florida International University has conducted the FIU/Florida Poll (www2.fiu .edu/orgs/ipor/globwarm \(2 . \mathrm{htm}\) ) of about 1200 Floridians annually since 1988 to track opinions on a wide variety of issues. In 2006 the poll asked, "How concerned are you about the problem of global warming?" The possible responses were very concerned, somewhat concerned, not very concerned, and haven't heard about it. The poll reported percentages (44,30,21,6) in these categories. a. Identify the sample and the population. b. Are the percentages quoted statistics or parameters? Why?

Short Answer

Expert verified
a. Sample: 1200 Floridians; Population: all Floridians. b. The percentages are statistics because they are derived from a sample.

Step by step solution

01

Define the Sample

The sample is the group of individuals selected from a larger population for the purpose of collecting data. In this case, the sample refers to the approximately 1200 Floridians who participated in the poll conducted by the Institute for Public Opinion Research at Florida International University in 2006.
02

Identify the Population

The population represents the entire group that we make inferences about based on the sample data. Here, the population consists of all Floridians, as the poll aims to understand opinions on global warming among the broader group of people living in Florida.
03

Distinguish Between Statistic and Parameter

A statistic is a descriptive measure computed from a sample, while a parameter is a descriptive measure of a population. Since the percentages (44, 30, 21, 6) are calculated from the sample of about 1200 Floridians rather than the entire population, they are considered statistics.

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Key Concepts

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

Sample Definition
When conducting research like the FIU/Florida Poll, **sample definition** is a crucial step. In simple terms, a sample is a smaller, manageable version of a larger group or population from which data is collected. It serves as a representative subset of the population under study.

For the poll in question, the sample consists of the approximately 1200 Floridians who took part in the survey. These individuals were selected to gather data on their opinions about global warming. The purpose of using a sample rather than the entire population is to make data collection more feasible, saving time and resources while still providing reliable insights.

When defining a sample, researchers strive for it to reflect the diversity of the whole population. This aspect ensures that the results obtained from the sample can be generalized to the entire population with a reasonable degree of accuracy.
Population Identification
Identifying the population in a study is just as crucial as defining the sample. The population refers to the entire group that researchers want to draw conclusions about based on sample data.

In the FIU/Florida Poll scenario, the population includes all individuals living in Florida. This is because the poll aims to capture opinion trends on global warming across the entire state, not just the members of the sample.

It is important for researchers to clearly define their population so they can establish the scope of their study and ensure their sample is appropriate. Proper population identification guides the sampling process, helping researchers to select individuals who offer information that accurately represents the wider community. Moreover, understanding the full scope of the population allows for more precise interpretations and ensures the research targets the correct audience.
Statistics vs. Parameters
In the world of data, the distinction between **statistics and parameters** is fundamental. These terms refer to different types of numerical descriptions drawn from either a sample or an entire population.

- **Statistics**: - Derived from a sample. - Provide an estimate or characteristic of the population. - In the FIU/Florida Poll, the reported percentages (44, 30, 21, 6) are statistics because they describe the sample of 1200 Floridians, not the entire population of Florida.

- **Parameters**: - Describe a trait within the entire population. - Often remain unknown unless a complete population survey is conducted. Understanding this difference is important because it impacts how results are interpreted and applied. Statistics aim to closely estimate parameters, giving us insights into the entire population's behavior or opinions based on the sampled group's data.

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