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.
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.
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 2SE: What is a sample space?
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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.
Transcribed Image Text: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
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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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