Exhibit 12.2 A university has six colleges and takes a poll to gauge student support for a tuition increase.The university wants to insure each college is represented fairly.The below table shows the observed number students that participate in the poll from each college and the actual proportion of students in each college. Refer to Exhibit 12.2.What is the value of the goodness-of-fit test statistic?
A)3.08
B)15.09
C)15.64
D)16.75

Question

Exhibit 12.2 A university has six colleges and takes a poll to gauge student support for a tuition increase.The university wants to insure each college is represented fairly.The below table shows the observed number students that participate in the poll from each college and the actual proportion of students in each college.  Refer to Exhibit 12.2.What is the value of the goodness-of-fit test statistic?
A)3.08 
B)15.09 
C)15.64 
D)16.75

Quizplus · Accepted Answer

The value of the goodness-of-fit test statistic is calculated using the formula chi-squared = SUM((observed - expected)^2 / expected). Using the observed and expected values from the table, we can calculate chi-squared = 15.64.