Census data for New York City indicates the following proportions among the city’s under-18 population:

Latino/Hispanic: 31.5%

White: 29.2%

Black: 28.2%

Asian: 9.1%

Other: 2%

The New York Civil Liberties Union points out that, of 26,181 police officers, the ethnic composition is…



Latino/Hispanic: 19.1%

White: 64.8%

Black: 14.5%

Asian: 1.4%



Do the police officers reflect the ethnic composition of the city’s youth?



a. What conditions must hold to conduct an appropriate hypothesis test?



b. Conduct the hypothesis test to determine if the police officers reflect the ethnic composition of the city’s youth.