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 about the percentages?
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.

Answer 1

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

Step-by-step explanation:

• A population is a large group of all possible observations required for a study by the researcher's point of view.
• A Sample is a finite subset of population that is used by researcher to represent the entire population in an analysis.
• A parameter is a number that measure a characteristic for the entire population.
• A statistic is a number that measure a characteristic for the sample.
• A statistics given an estimate to the population parameter.

Given : A study of voting chose 663 registered voters at random shortly after an election.

Population of interest : "registered voters"

Sample : " 663 registered voters "

72%  of 663 registered voters said they had voted in the election.

⇒ Statistic = sample proportion registered voters voted in the election.= 72%

Election records show that only 56% of registered voters voted in the election.

⇒ Parameter = Population proportion of registered voters voted in the election =  56%

Hence, the correct answer is "c. 72% is a statistic and 56% is a parameter."