Question

The Centers for Disease Control conducts an occasional study of youth behaviors that affect health. They randomly sample several thousand children between the ages of 10 and 18 in the United States and ask (with parents' permission) a series of questions. In a recent sample of 15000 randomly selected youth, 11% of them said that they had vaped on 1 or 2 days in the last 30 days. Which of the following best describes the number 111%?

a. 11% is a statistic and is represented symbolically as Ï = 0.11
b. 11% is a statistic and is represented symbolically as rho = 0.11
c. 11% is a parameter and is represented symbolically as rho=0.11
d. 11% is a parameter and is represented symbolically as Ï = 0.11

Answer 1

b. 11% is a statistic and is represented symbolically as p = 0.11

Explanation:

A statistic differ from a parameter in that, statistic is a numerical property or value derived from the sample while the parameter is a numerical property of the population. The percentage given, 11% who said that they had vaped on 1 or 2 days in the last 30 days is derived from the 15000 youths which is a sample and not a population, hence, 11% is a statistic, since it is expressed as a percentage, it is a proportion ;

Hence, 11% is a statistic and can be represented symbolically as p = 0.11