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.
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 (15.67) |
30 (29.24) |
52 (49.09) |
94 |
| engineer |
14 (10.67) |
20 (19.91) |
30 (33.42) |
** |
| law |
4 (*) |
6 (6.84) |
12 (11.49) |
22 |
| 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.
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