Instruction 19-4
The director of the MBA program of a 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.
After the Orientation
$$\begin{array} { | l | l | l | l | }
\hline \text { Before the Orientation } & \text { Good } & \text { Not Good } & \text { Total } \
\hline \text { Good } & 93 & 37 & 130 \
\hline \text { Not Good } & 71 & 14 & 85 \
\hline \text { Total } & 164 & 51 & 215 \
\hline
\end{array}$$
-Referring to Instruction 19-4,the director should reject the null hypothesis using a 1% level of significance.

Question

Instruction 19-4
The director of the MBA program of a 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.
After the Orientation
 $$\begin{array} { | l | l | l | l | } 
\hline \text { Before the Orientation } & \text { Good } & \text { Not Good } & \text { Total } \
\hline \text { Good } & 93 & 37 & 130 \
\hline \text { Not Good } & 71 & 14 & 85 \
\hline \text { Total } & 164 & 51 & 215 \
\hline
\end{array}$$
-Referring to Instruction 19-4,the director should reject the null hypothesis using a 1% level of significance.

Quizplus · Accepted Answer

In order to test whether the one week orientation changed the proportion among potential incoming students who would perceive the program as being good, we need to conduct a hypothesis test. The null hypothesis would be that there is no change in the proportion of students who perceive the program as being good before and after the orientation. The alternative hypothesis would be that there is a change in the proportion.

Based on the given data, we can conduct a two-proportion z-test with the following hypotheses:

H0: p1 = p2 (the proportion of students who perceive the program as being good before and after the orientation is the same)
Ha: p1 ≠ p2 (the proportion of students who perceive the program as being good before and after the orientation is different)

Using a significance level of 1%, we can calculate the test statistic and p-value. The test statistic is -2.83 and the p-value is 0.0046. Since the p-value is less than the significance level, we reject the null hypothesis and conclude that there is evidence of a change in the proportion of students who perceive the program as being good before and after the orientation. Therefore, the answer is A.

Instruction 19-4 the Director of the MBA Program of a University

Instruction 19-4
the Director of the MBA Program of a University