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 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 χ2 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 reason for your answer.
Sub-Part (iv & v)
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
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 χ2 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 reason for your answer.
Step by step
Solved in 4 steps with 4 images
