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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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
Transcribed Image Text:Prof. Cook, always interested in improving her teaching effectiveness, has decided to undertake a
analysis of her student evaluations from the past several years. The last question on the student
form, Question 17, is "Would you recommend this professor to another student?" A matter of spec
to Prof. Cook is how she is viewed by students of different majors. Each of Prof. Cook's students c
placed into a category according to the student's major school. (Students who have majors from
one school are not included.) So, there are two variables under consideration: student's major scr
("School of Social Sciences", "School of Engineering", or "School of Physical Sciences") and answe
Question 17 ("No", "Maybe", or "Yes").
The contingency table below contains a summary of the responses to Question 17 for a random sa
500 of Prof. Cook's students. In each cell of the table is written three numbers: the first number is
observed cell frequency (fo); the second number is the expected cell frequency (fr) under the as:
that the variables student's major school and answer to Question 17 are unrelated; and the third
the following value.
fo-SE (observed cell frequency -Expected cell frequency )
JE
Expected cell frequency
The numbers labeled "Total" are totals for observed frequency.
Part 1

Transcribed Image Text:Student's major school
School of
School of
School of
Social
Engineering
Physical
Total
Sciences
Sciences
45
22
38
"No"
26.88
105
4.600
46
30
27
"Maybe"
26.37
103
Response to
Question 17
0.015
156
73
63
"Yes"
144.25
73.00
74.75
292
0.957
1.847
Total
247
125
128
500
Part 2
Answer the following to summarize the test of the hypothesis that the variables student's major school and
answer to Question 17 are unrelated. For your test, use the 0.10 level of significance.
(a) Determine the type of test statistic to
use.
Type of test statistic: (Choose one) ▼
(b) Find the value of the test statistic. (Round to two or more decimal places.)
(c) Find the critical value for a test at the 0.10 level of significance. (Round to
two or more decimal places.)
(d) Can Prof. Cook conclude that the variables student's major school and
answer to Question 17 are related? Use the 0.10 level of significance.
O Yes
O No
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