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Chapter 7: Problem 12

The Centers for Disease Control and Prevention (CDC) conducts an annual Youth Risk Behavior Survey, surveying over 15,000 high school students. The 2015 survey reported that, while cigarette use among high school youth had declined to its lowest levels, \(24 \%\) of those surveyed reported using e-cigarettes. Identify the sample and population. Is the value \(24 \%\) a parameter or a statistic? What symbol would we use for this value?

Short Answer

Expert verified
The sample is 15,000 high school students, the population is all high school students. The 24% value is a statistic and the appropriate symbol is \( \hat{p} \).

Step by step solution

01

Identify the Sample

The sample here is the 15,000 high school students who were surveyed by the CDC.
02

Identify the Population

The population here is all the high school students, as the CDC is interested in understanding the behavior of all high school students. The sample is taken from this population.
03

Identify the Parameter or Statistic

The value \(24 \%\) is a statistic. Statistics are quantities calculated from a sample, here it represents the proportion of students in the sample reported using e-cigarettes.
04

Identify the Symbol

The symbol we would use for this value is \( p \) if it was a population parameter and \( \hat{p} \) if it is a sample statistic. As it is a statistic, the symbol would be \( \hat{p} \).

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