The performance of students at a local community was recorded and categorized based on student’s faculty. The gathered data was then analyzed by a statistician and the results obtained using MINITAB...

_{The performance of students at a local community was recorded and categorized based on student’s faculty. The gathered data was then analyzed by a statistician and the results obtained using MINITAB are shown below:}

Expected counts are printed below observed counts

Science        Low            Average              High           Total

                      12                  30                      52              94

                    (15.67)         (29.24)              (49.09)

Humanities  14                  20                     30                **

                     (10.67)        (19.91)              (33.42)

Law                4                  6                       12                 22

                     (*)                (6.84)               (11.49)

Total             30                56                      94               180

Chi - sq = 0.858 + 0.020 + *** +

1.042   0.000 + 0.350 +

0.030 + 0.104 + 0.023 = 2.600

State the conclusion for the test. Give reason for your answer.