The middle column of this table lists the actual percent of traffics stops, cate

Question

The middle column of this table lists the actual percent of traffics stops, categorized by the age of the driverfor the las vegas Metropolitain POliceDepartment in 2002. Suppose that in a random sample of 100 traffic stops for the following year, the distribution was as shown in the column on the right. If you test teh goodness of fit of the 2003 sample to the 2002 distribution, the expected frequency for drivers aged 18-29 in 2003 is:

40-49

50 and older

16.5

12.5

150

95

Age %stopped in 2002 %stopped in 2003 >18 3.0 40 18-29 40.5 435 30-39 27.4 280

40-49

50 and older

16.5

12.5

150

95

Explanation / Answer

for % is is based on 2002 data ; therefore proportion for 18-29 age drivers =40.5%

and total count for 2003 =40+435+280+150+95=1000

hence expected frequency for drivers aged 18-29 in 2003 is =np =1000*40.5% =405

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