Exhibit 11-4
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained.
We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.
-Refer to Exhibit 11-4. The calculated value for the test statistic equals
A)2
B)-2
C)20

Question

Exhibit 11-4
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained.
  We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.
-Refer to Exhibit 11-4. The calculated value for the test statistic equals
A)2 
B)-2 
C)20

Quizplus · Accepted Answer

To test for uniform distribution, we use the chi-squared goodness-of-fit test. The formula for the test statistic is: 
χ^2 = Σ (O - E)^2 / E 
where O is the observed frequency and E is the expected frequency. 
The expected frequency under uniform distribution is E = n/k, where n is the total sample size (150) and k is the number of categories (3 in this case). Therefore, E = 50. 
Calculating the test statistic using the given data, we get: 
χ^2 = (60-50)^2/50 + (70-50)^2/50 + (20-50)^2/50 
χ^2 = 10 + 40 + 120/50 
χ^2 = 4 
Therefore, the calculated value for the test statistic is 4. The correct choice is D.

Exhibit 11-4 When Individuals in a Sample of 150 Were Asked Whether