Chapter 3, Section 2, Exercise 051acd Have You Ever Been Arrested? According to

Question

Chapter 3, Section 2, Exercise 051acd Have You Ever Been Arrested? According to a recent study of 7335 young people in the US, 30 % had been arrested1 for a crime other than a traffic violation by the age of 23. Crimes included such things as vandalism, underage drinking, drunken driving, shoplifting, and drug possession. 1From a study in USA Today, quoted in The Week, 2012; 11: 547–548. (a) Is the 30 % a parameter or a statistic? Parameter or Statistic . (b) The margin of error for the population proportion estimate, p, is 0.01. Use this information to give a range of plausible values for the parameter. The plausible values for the proportion p range from... to... . (c) Given the margin of error in part (b), if we asked all young people in the US if they have ever been arrested, is it likely that the actual proportion is less than 25 %? Yes or No

Explanation / Answer

a) as 30% us based on survey it is a statistic

as estimnate = point estimate -/+ margin of error =0.3 -/+ 0.01 =0.29 ; 0.31

c) NO as 25% does not fall in our confidence interval it does not seem to be usual that actual proportion is less than 25 %

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