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.Using the critical value approach,the decision and conclusion are:
A)Reject the null hypothesis,at least one of the proportions is different from its hypothesized value
B)Reject the null hypothesis,all of the proportions are not the same
C)Do not reject the null hypothesis,all proportions are equal to 0.20
D)Do not reject the null hypothesis,cannot conclude not all of the proportions are the same

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.Using the critical value approach,the decision and conclusion are:
A)Reject the null hypothesis,at least one of the proportions is different from its hypothesized value 
B)Reject the null hypothesis,all of the proportions are not the same 
C)Do not reject the null hypothesis,all proportions are equal to 0.20 
D)Do not reject the null hypothesis,cannot conclude not all of the proportions are the same

Quizplus · Accepted Answer

The critical value approach involves calculating the test statistic and comparing it to the critical value. If the test statistic is greater than the critical value, we reject the null hypothesis in favor of the alternative. In this case, the null hypothesis is that all proportions are equal to their hypothesized value of 0.20. The calculated test statistic exceeds the critical value, leading us to reject the null hypothesis and conclude that at least one of the proportions is different from its expected value.