Question 4 - (Please answer questions i-v)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question 4 - (Please answer questions i-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
High
52
Low
Average
Total
Science
12
30
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 x test for the above output.
ii. Find the missing values **, ***", ****, Showing necessary working
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.
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 High 52 Low Average Total Science 12 30 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 x test for the above output. ii. Find the missing values **, ***", ****, Showing necessary working 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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