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A study of voting chose 663registered voters at random shortly after an election. Of these, 72%said they had voted in the election. Election records show that only56% of registered voters voted in the election. Which of the following statements is true about the boldface numbers?

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

(b) 72%and56% 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%and56% are both parameters.

Short Answer

Expert verified

Correct option is option (c) 72%is a statistic and 56%is a parameter

Step by step solution

01

Given information

Given in the question that, A study of voting chose 663registered 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

02

Explanation

Number of registered voters=663

Percent of voters who said they voted in the election=72%

Percent of registered voters who voted in the election=56%

Know that a descriptive measure for a population is a parameter and a descriptive measure for a sample is a statistic.

Here, since the proportion72%is based on the study of randomly selected numbers of voters that is, 663; so 72%is a statistic.

Also, the proportion 56%is based on all registered voters. This means the 52%is a parameter.

Thus, 72%is a statistic and 56%is a parameter.

Hence, the correct answer is (c).

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