A city is accused of having a non-diverse police force that does not fully represent the various ethnicities who reside there. Data from the most recent census are given in the table below, as well as...


A city is accused of having a non-diverse police force that does not fully represent the various ethnicities who reside there. Data from the most recent census are given in the table below, as well as results from a sample of 133 randomly chosen police officers.































EthnicityWhiteAfrican-AmericanLatinoAsianOther

% of city population
41.0%29%18%9.8%2.2%

Number of police officers
67322077





(a) Which hypotheses should be tested to determine if the ethnic make-up of the police force is consistent with the city's population?
H0:      , implying the police force ethnicity is (consistent/ inconsistent)    with the city's population.
Ha:    , implying the police force ethnicity is (consistent/ inconsistent) with the city's population.


(b) The residual for the African-American category is -1.058. What does the negative sign imply?
There are (more/ fewer) African-American police officers than expected for this city.


(c) The test statistic is 13.085. What is thep-value? (Use 4 decimals.)



Jun 10, 2022
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