Question

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

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

Step-by-step solution

Given Information

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

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)

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 .