The most recent census data indicated that 70 percent of the

The most recent census data indicated that 70 percent of the Stat City community was Caucasian, 20 percent Black, and 10 percent Hispanic. A random sample of 200 employees of a Stat City firm revealed that 160 were Caucasian, 30 were Black, and 10 were Hispanic. At the 1 percent significance level can we conclude that the distribution of the firm employees does not reflect the general population?

What is the value of the test statistic?

a. 10.357

b. 5.4326

c. 8.715

d. 13.192

2. What is your conclusion?

a. The firm can be accused of engaging in prejudicial hiring practices

b. The firm cannot be accused of engaging in prejudicial hiring practices

c. The distribution of the firm employees reflects the Stat City community

d. There is insufficient information to make any conclusion

3. At the 1% significance level the null hypothesis is rejected if the value of the test statistic is

a. greater than or equal to 9.210

b. less than or equal to 9.210

c. greater than or equal to 10.357

d. Less than or equal to 10.357

4. Let pC = proportion of the Caucasian employees in the firm, pB = the proportion of the Black employees in the firm, and pH = the proportion of the Hispanic employees in the firm. What is the alternative hypothesis?

a. Ha : pC 0.70, or pB 0.20, or pH 0.10

b. Ha : pC = 0.70 or pB = 0.20, or pH = 0.10

c. Ha : pC 0.70, and pB 0.20, and pH 0.10

d. Ha : pC > 0.70, pB 0.70, pB < 0.20, pH = 0.10

Solution

The most recent census data indicated that 70 percent of the Stat City community was Caucasian, 20 percent Black, and 10 percent Hispanic. A random sample of 200 employees of a Stat City firm revealed that 160 were Caucasian, 30 were Black, and 10 were Hispanic. At the 1 percent significance level can we conclude that the distribution of the firm employees does not reflect the general population?

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

160

140.000

20.000

2.857

30

40.000

-10.000

2.500

10

20.000

-10.000

5.000

200

200.000

0.000

10.357

10.357

chi-square

2

df

.0056

p-value

What is the value of the test statistic?

a. 10.357

b. 5.4326

c. 8.715

d. 13.192

At the 1 percent significance level we can conclude that the distribution of the firm employees does not reflect the general population.

2. What is your conclusion?

a. The firm can be accused of engaging in prejudicial hiring practices

b. The firm cannot be accused of engaging in prejudicial hiring practices

c. The distribution of the firm employees reflects the Stat City community

d. There is insufficient information to make any conclusion

3. At the 1% significance level the null hypothesis is rejected if the value of the test statistic is

a. greater than or equal to 9.210

b. less than or equal to 9.210

c. greater than or equal to 10.357

d. Less than or equal to 10.357

4. Let pC = proportion of the Caucasian employees in the firm, pB = the proportion of the Black employees in the firm, and pH = the proportion of the Hispanic employees in the firm. What is the alternative hypothesis?

a. Ha : pC 0.70, or pB 0.20, or pH 0.10

b. Ha : pC = 0.70 or pB = 0.20, or pH = 0.10

c. Ha : pC 0.70, and pB 0.20, and pH 0.10

d. Ha : pC > 0.70, pB 0.70, pB < 0.20, pH = 0.10

Goodness of Fit Test
	observed	expected	O - E	(O - E)² / E
	160	140.000	20.000	2.857
	30	40.000	-10.000	2.500
	10	20.000	-10.000	5.000
	200	200.000	0.000	10.357
	10.357	chi-square
	2	df
	.0056	p-value