Question: Census data for a city indicate that 26.4% of the under-18 population is white, 28.7% black, 32.3% Latino, 9.8% Asian, and 2.8% other ethnicities. The city points out that of 26,338police officers, 64.8% are white, 14.5% black, 19.1% Latino, 1.4% Asian, and the remaining are other ethnicities. Do the police officers reflect the ethnic composition of the city's youth? Complete parts a through e below.

a) Select the appropriate procedure. Choose the correct answer below.

A.Chi-square goodness-of-fit test

B. Chi-square test for independence

C. Chi-square test for homogeneity

b) Check the assumptions. Select all that apply.

A.It is reasonable to assume that the randomization condition is satisfied.

B.The counted data condition is satisfied.

C. The expected cell frequency condition is satisfied.

D. It is reasonable to assume that the independence assumption is satisfied.

c) State the hypotheses. Choose the correct answer below. (fill in blank)

H 0: The distribution of ethnicities in the police department ____________ the distribution of ethnicities of the city's youth.

HA: The distribution of ethnicities in the police department ___________ the distribution of ethnicities of the city's youth.

d) Test an appropriate hypothesis and state your results. Assume alpha equals 0.05.

What is the test statistic? Select the correct choice below, and if necessary, fill in the answer box to complete your choice.

A.The test statistic is _____. (Round to two decimal places as needed.)

B. Since the assumptions are not satisfied, the test is not appropriate.

Determine the P-value. Select the correct choice below, and if necessary, fill in the answer box to complete your choice.

A.The P-value is ______. (Round to three decimal places as needed.)

B. Since the assumptions are not satisfied, the test is not appropriate.

What is the result of the hypothesis test?

A.Reject H 0. The P-value is greater than the level of significance.

B.Reject H 0. The P-value is less than the level of significance.

C. Fail to reject H 0. The P-value is greater than the level of significance.

D. Fail to reject H 0. The P-value is less than the level of significance.

E. Since the assumptions are not satisfied, the test is not S5 (step7)

e) Interpret the meaning of the results and state a conclusion. Choose the correct answer below.

A.There is not sufficient evidence to conclude that the distribution of ethnicities in the police department does not represent the distribution of ethnicities of the city's youth.

B.There is sufficient evidence to conclude that the distribution of ethnicities in the police department is independent of the distribution of ethnicities of the city's youth.

C.There is not sufficient evidence to conclude that the distribution of ethnicities in the police department is independent of the distribution of ethnicities of the city's youth.

D.There is sufficient evidence to conclude that the distribution of ethnicities in the police department does not represent the distribution of ethnicities of the city's youth.

E. Since the assumptions are not satisfied, the test is not appropriate.