Exhibit 12-1
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 12-1. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals
A)7.37776
B)7.81473
C)5.99147
D)9.34840

Question

Exhibit 12-1
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 12-1. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals
A)7.37776 
B)7.81473 
C)5.99147 
D)9.34840

Quizplus · Accepted Answer

Since we are testing for the uniform distribution of opinions among the sample, this is a test of goodness of fit. Therefore, we use the chi-squared distribution to find the critical value. With 3 categories and alpha = 0.05 as the level of significance, the critical value from the chi-squared distribution table with 2 degrees of freedom (3-1) is 5.99147. Therefore, the best choice is C.

Exhibit 12-1 When Individuals in a Sample of 150 Were Asked Whether