TABLE 12-15
The director of the MBA program of a state university wanted to know if a one week orientation would change the proportion among potential incoming students who would perceive the program as being good. Given below is the result from 215 students' view of the program before and after the orientation.

-Referring to Table 12-15, what should be the director's conclusion?
A) There is sufficient evidence that the proportion of potential incoming students who perceive the program as being good is the same before and after the orientation.
B) There is insufficient evidence that the proportion of potential incoming students who perceive the program as being good is the same before and after the orientation.
C) There is sufficient evidence that the proportion of potential incoming students who perceive the program as being good is not the same before and after the orientation.
D) There is insufficient evidence that the proportion of potential incoming students who perceive the program as being good is not the same before and after the orientation.

Question

TABLE 12-15
The director of the MBA program of a state university wanted to know if a one week orientation would change the proportion among potential incoming students who would perceive the program as being good. Given below is the result from 215 students' view of the program before and after the orientation.
 
-Referring to Table 12-15, what should be the director's conclusion?
A) There is sufficient evidence that the proportion of potential incoming students who perceive the program as being good is the same before and after the orientation. 
B) There is insufficient evidence that the proportion of potential incoming students who perceive the program as being good is the same before and after the orientation. 
C) There is sufficient evidence that the proportion of potential incoming students who perceive the program as being good is not the same before and after the orientation. 
D) There is insufficient evidence that the proportion of potential incoming students who perceive the program as being good is not the same before and after the orientation.

Quizplus · Accepted Answer

We can perform a chi-square test of independence to determine if there is a significant difference in the proportion of students who perceive the program as good before and after the orientation. The null hypothesis is that there is no difference in the proportions. Using a significance level of 0.05, we find that the calculated chi-square statistic is 11.14, with 1 degree of freedom. The p-value for this test is less than 0.05, meaning that there is sufficient evidence to reject the null hypothesis. Therefore, we can conclude that the proportion of potential incoming students who perceive the program as being good is not the same before and after the orientation. Choice C is the correct answer.

TABLE 12-15 The Director of the MBA Program of a State University