1.Define the null and alternative hypotheses of the χ 2 test for the above output. 2. Find the missing values ‘*’, ‘**’, ‘***’, Showing necessary working 3. What is the degree of freedom for this test? 4. Estimate the p-value for this test. 5. State the conclusion for the test. Give reason for y

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1.Define the null and alternative hypotheses of the χ 2 test for the above output. 2. Find the missing values ‘*’, ‘**’, ‘***’, Showing necessary working 3. What is the degree of freedom for this test? 4. Estimate the p-value for this test. 5. State the conclusion for the test. Give reason for y
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
нigh
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
Transcribed Image Text: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 нigh 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
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