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: low Average High Total Science 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 i. Define the null and alternative hypotheses of the X2 test for the above output. ii. Find the missing values ‘*’, ‘**’, ‘***’, Showing necessary working iii. What is the degree of freedom for this test? iv. Estimate the p-value for this test. v. State the conclusion for the test. Give the reason for your answer.
question 4
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:
low Average High Total
Science 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
i. Define the null and alternative hypotheses of the X2 test for the above output.
ii. Find the missing values ‘*’, ‘**’, ‘***’, Showing necessary working
iii. What is the degree of freedom for this test?
iv. Estimate the p-value for this test.
v. State the conclusion for the test. Give the reason for your answer.
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