Have You Ever Been Arrested?

According to a recent study of7335

young people in the US,30

%

had been arrested¹for a crime other than a traffic violation by the age of23

. Crimes included such things as vandalism, underage drinking, drunken driving, shoplifting, and drug possession.

¹From a study inUSA Today, quoted inThe Week, 2012; 11: 547-548.

(a) Is the30

%

a parameter or a statistic?

Parameter

Statistic

(b) The margin of error for the population proportion estimate,p

, is0.01

. Use this information to give a range of plausible values for the parameter.

The plausible values for the proportionp

range from

to

.

(c) Given the margin of error in part (b), if we askedallyoung people in the US if they have ever been arrested, is it likely that the actual proportion is less than25

%

?

Yes

No