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Chapter 7: Q. 7.1 (page 438)

A study of voting chose 663 registered voters at random shortly after an election. Of these, 72%said they had voted in the election. Election records show that only 56%of registered voters voted in the election. Which of the following statements is true?

a. 72%is a sample; 56%is a population.

b. 72%and 56%are both statistics.

c. 72%is a statistic and 56%is a parameter.

d. 72%is a parameter and 56%is a statistic.

e. 72%and 56%are both parameters.

Short Answer

Expert verified

(c)72%is a statistic and 56%is a parameter.

Step by step solution

01

Given Information

Shortly after an election, a voting study randomly selected 663 registered voters.

02

Explanation for correct option

A statistic is a descriptive measure for a sample, whereas a parameter is a descriptive measure for a population. Because the proportion is based on a research of 663 randomly selected voters, 72 percent is a statistic.

The parameter is 56 percent The reason for this is that the percentage is calculated using ALL registered voters.

As a result, the best solution is (c)

03

Explanation for incorrect option

a. 72%is a sample; 56%is a population is not the true statements .

b. 72%and 56%are both statistics is not the true statements .

d. 72%is a parameter and 56%is a statistic is not the true statements .

e. 72%and 56%are both parameters is not the true statements .

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