Question

According to the U.S. Census bureau, 23.5% of people in the United States are under the age of 18. In a random sample of 250 residents of a small town in Ohio, 28% of the sample was under 18. Which one of the following statements is true?

1. 23.5% and 28% are statistics, 250 and 18 are parameters
2. 23.5% and 28% are parameters, 250 and 18 are statistics
3. 23.5% and 28% are parameters, 18 is a statistic
4. 28% is a parameter and 23.5% is a statistic
5. 23.5% is a parameter and 28% is a statistic

Answer 1

Option 5) 23.5% is a parameter and 28% is a statistic

Explanation:

We are given the following in the question:

"According to the U.S. Census bureau, 23.5% of people in the United States are under the age of 18. In a random sample of 250 residents of a small town in Ohio, 28% of the sample was under 18."

• Population is the collection of all the observation of individual of interest.

Population of interest:

People in the United States

• Parameter is any value that describes the population.

Parameter:

23.5% of people in the United States are under the age of 18

• Sample is a subset of a population and is always smaller than the population.

Sample:

Random sample of 250 residents of a small town in Ohio

• Statistic is any value that describes a sample.

Statistic:

28% of the sample was under 18

Thus, the correct answer is

Option 5) 23.5% is a parameter and 28% is a statistic