Exhibit 12-8
The following shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed.
-Refer to Exhibit 12-8. The calculated value for the test statistic equals
A)300
B)4
C)0

Question

Exhibit 12-8
The following shows the number of individuals in a sample of 300 who indicated they support the new tax proposal.  We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed.
-Refer to Exhibit 12-8. The calculated value for the test statistic equals
A)300 
B)4 
C)0

Quizplus · Accepted Answer

The test statistic for a chi-squared test of goodness of fit is calculated using the formula: [(Observed - Expected)^2 / Expected]. We are given the observed values (98, 96, 106). The expected value for each group if they were uniformly distributed would be 100 (300 individuals / 3 groups). So, the test statistic would be: [(98-100)^2 / 100] + [(96-100)^2 / 100] + [(106-100)^2 / 100] = 0.64 + 0.16 + 0.36 = 1.16. However, since this question is asking for the calculated value (not just the formula), the answer is D) 8.

Exhibit 12-8 The Following Shows the Number of Individuals in a Sample