Statistics

Census data for a city indicate that 65.3% of the under-18 population is white, 14.4% black, 18.8% Latino, 1.3% Asian, and 0.2% other ethnicities. The city points out that of 26, 189 police officers, 64.8% are white, 14.5% black, 19.1% Latino, and 1.4% Asian. Do the police officers reflect the ethnic composition of the city's youth? Test an appropriate hypothesis and state your conclusion. (Assume a significance level of a = 0.05) Identify the null and alternative hypotheses. What is the null hypothesis? O A. Ho: The ethnicities of police officers do not have the same distribution as the ethnicities of the youth. O B. Ho: The ethnicities of police officers have a higher distribution than the ethnicities of the youth. C. Ho: The ethnicities of police officers have the same distribution as the ethnicities of the youth. O D. Ho: The ethnicities of police officers have a lower distribution than the ethnicities of the youth. What is the alternative hypothesis? O A. HA: The ethnicities of police officers have a lower distribution than the ethnicities of the youth. B. HA: The ethnicities of police officers do not have the same distribution as the ethnicities of the youth. O C. HA: The ethnicities of police officers have a higher distribution than the ethnicities of the youth. O D. HA: The ethnicities of police officers have the same distribution as the ethnicities of the youth. Compute the chi-square statistic. x2 = 0 (Round to two decimal places as needed.)