Answered: The performance of students at a local…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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: (attachment)

i. Define the null and alternative hypotheses of the χ2 test for the above output.

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
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

Expert Solution

Step 1

In this case, it is needed to check whether the performance of students at a local community and categorized based on student’s faculty, are independent or not.

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