Census data for a city indicate that 28.5

28.5% of theunder-18 population iswhite, 28.3

28.3% black, 32.1

32.1% Latino, 8.7

8.7% Asian, and 2.4

2.4% other ethnicities. The city points out that of 26 comma 507

26,507 policeofficers, 64.8

64.8% arewhite, 14.5

14.5% black, 19.1

19.1% Latino, 1.4

1.4% Asian, and the remaining are other ethnicities. Do the police officers reflect the ethnic composition of thecity's youth? Complete parts a through e below.

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

A.

Chi-square test for homogeneity

B.

Chi-square test for independence

C.

Chi-square goodness-of-fit test

b) Check the assumptions. Select all that apply.

A.

The expected cell frequency condition is satisfied.

B.

The counted data condition is satisfied.

C.

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

D.

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

c) State the hypotheses. Choose the correct answer below.

Upper H 0

H0: The distribution of ethnicities in the police department represents

represents

is not independent of

does not represent

is independent of

the distribution of ethnicities of thecity's youth.

Upper H Subscript Upper A

HA: The distribution of ethnicities in the police department does not represent

represents

is not independent of

does not represent

is independent of

the distribution of ethnicities of thecity's youth.

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

equals

=0.05.

What is the teststatistic? Select the correct choicebelow, and ifnecessary, fill in the answer box to complete your choice.

A.

The test statistic is

nothing

.

(Round to two decimal places asneeded.)

B.

Since the assumptions are notsatisfied, the test is not appropriate.

Determine theP-value. Select the correct choicebelow, and ifnecessary, fill in the answer box to complete your choice.

A.

TheP-value is

nothing

.

(Round to three decimal places asneeded.)

B.

Since the assumptions are notsatisfied, the test is not appropriate.

What is the result of the hypothesistest?

A.

Reject Upper H 0

H0. TheP-value is less than the level of significance.

B.

Fail to reject Upper H 0

H0. TheP-value is less than the level of significance.

C.

Fail to reject Upper H 0

H0. TheP-value is greater than the level of significance.

D.

Reject Upper H 0

H0. TheP-value is greater than the level of significance.

E.

Since the assumptions are notsatisfied, 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 sufficient evidence to conclude that the distribution of ethnicities in the police department does not represent the distribution of ethnicities of thecity's youth.

B.

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

D.

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

E.

Since the assumptions are notsatisfied, the test is not appropriate.