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Chapter 1: Problem 6

The supervisors of a rural county are interested in the proportion of property owners who support the construction of a sewer system. Because it is too costly to contact all 7000 property owners, a survey of 500 owners (selected at random) is undertaken. Describe the population and sample for this problem.

Short Answer

Expert verified
The population refers to all 7000 property owners in the county, while the sample refers to the randomly selected 500 property owners that will be surveyed.

Step by step solution

01

Identify the Population

In statistical analysis, the population is the entire group that we are interested in, which we wish to describe or draw conclusions about. In this case, the population would be all the property owners in the rural county since we are interested in their opinions on the construction of a sewer system. The total number of property owners is 7000.
02

Define the Sample

The sample is a subset of the population, which is used to represent the entire group. Here, the sample consists of 500 property owners who were selected at random to take the survey.
03

Final Check

After defining both terms, review to make sure that they are properly integrated into the context of the problem and make sure there are no missing elements.

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