The most recent census data indicated that 70 percent of the Stat City community
ID: 3380005 • Letter: T
Question
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
Explanation / Answer
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
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