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 boldface numbers?

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

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

Explanation:

Previous concepts

A statistic or sample statistic "is any quantity computed from values in a sample", for example the sample mean, sample proportion and standard deviation

A parameter is "any numerical quantity that characterizes a given population or some aspect of it".

Solution to the problem

For this case we know that they select a sample of 663 registered voters and the sample proportion from these registered voters is:

`\hat p = 0.72` representing the sample proportion of people who voted in the election

They info that they have is that the true proportion before is
`p =0.52` and that represent a value related to the population.

So on this case the 0.72 represent a statistic since represent the sample and the 0.52 is a value who represent the population for this case is a parameter.

So the correct option is:

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