Answer :
The director is comparing the proportion of high-scoring students in 2016 and 2012 to determine if there is a significant difference.
To perform the hypothesis test, the director collected random samples of MBA candidates entering the program in both years.
The proportions of students with GMAT scores above 630 are calculated for each year. Statistical techniques, such as a test of proportions (e.g., z-test or chi-square test), can be employed to compare the proportions and assess if the difference is statistically significant.
By analyzing the test statistic and comparing it to the appropriate critical value or p-value, the director can make a conclusion about whether the proportion of high-scoring students differs significantly between 2016 and 2012.
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