Prof. Campbell has decided to undertake a careful analysis of her student evaluations from the past several years. Question 17 on the evaluation form is "Would you recommend this professor to another student?" A matter of special concern to Prof. Campbell is how she is viewed by students of different majors. Each of Prof. Campbell's students can be placed into a category according to the student's major school. (Students who have majors from more than one school are not included.) So, there are two variables under consideration: student's major school ("School of Social Sciences", "School of Engineering", or "School of Physical Sciences") and response to Question 17 ("No", "Maybe", or "Yes"). The contingency table below contains a summary of the responses to Question 17 for a random sample of soo of Prof. Campbell's students. In each cell of the table is written three numbers: the first number is the observed cell frequency (o); the second number is the expected cell frequency (₂) under the assumption that the variables student's major school and response to Question 17 are unrelated; and the third number
Prof. Campbell has decided to undertake a careful analysis of her student evaluations from the past several years. Question 17 on the evaluation form is "Would you recommend this professor to another student?" A matter of special concern to Prof. Campbell is how she is viewed by students of different majors. Each of Prof. Campbell's students can be placed into a category according to the student's major school. (Students who have majors from more than one school are not included.) So, there are two variables under consideration: student's major school ("School of Social Sciences", "School of Engineering", or "School of Physical Sciences") and response to Question 17 ("No", "Maybe", or "Yes"). The contingency table below contains a summary of the responses to Question 17 for a random sample of soo of Prof. Campbell's students. In each cell of the table is written three numbers: the first number is the observed cell frequency (o); the second number is the expected cell frequency (₂) under the assumption that the variables student's major school and response to Question 17 are unrelated; and the third number
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:Prof. Campbell has decided to undertake a careful analysis of her
student evaluations from the past several years. Question 17 on the
evaluation form is "Would you recommend this professor to another
student?" A matter of special concern to Prof. Campbell is how she is
viewed by students of different majors. Each of Prof. Campbell's
students can be placed into a category according to the student's major
school. (Students who have majors from more than one school are not
included.) So, there are two variables under consideration: student's
major school ("School of Social Sciences", "School of Engineering", or
"School of Physical Sciences") and response to Question 17 ("No",
"Maybe", or "Yes").
The contingency table below contains a summary of the responses to
Question 17 for a random sample of soo of Prof. Campbell's students. In
each cell of the table is written three numbers: the first number is the
observed cell frequency (); the second number is the expected cell
frequency (₂) under the assumption that the variables student's major
school and response to Question 17 are unrelated; and the third number
is the following value.
(fo-fe) (Observed cell frequency-Expected cell frequency)²
JE
Expected cell frequency
The numbers labeled "Total" are totals for observed frequency.
Part 1
Fill in the missing values in the contingency table. Round your
expected frequencies to two or more decimal places, and round your
(fo-f) values to three or more decimal places.
fe
(Send data to Excel
Response to
Question 17
"No"
"Maybe"
"Yes"
Total
Student's major school
School of
Physical Total
Sciences
19
0
0
28
27.13
0.028
School of
Social
Sciences
53
0
0
53
48.96
0.333
134
0
0
240
School of
Engineering
(a) Determine the type of test statistic to use.
Type of test statistic: (Choose one) ▼
30
25.91
0.646
21
25.91
0.930
76
75.18
0.009
127
86
0
0
133
102
102
(c) Find the p-value. (Round to three or more decimal
places.)
0
296
500
Part 2
Answer the following to summarize the test of the hypothesis that
the variables student's major school and response to Question 17 are
unrelated. For your test, use the 0.05 level of significance.
(b) Find the value of the test statistic. (Round to two or
more decimal places.)
0
X
(d) Can Prof. Campbell conclude that the variables
student's major school and response to Question 17
are related? Use the 0.05 level of significance.
O Yes O No
3
X

Transcribed Image Text:Prof. Campbell has decided to undertake a careful analysis of her
student evaluations from the past several years. Question 17 on the
evaluation form is "Would you recommend this professor to another
student?" A matter of special concern to Prof. Campbell is how she is
viewed by students of different majors. Each of Prof. Campbell's
students can be placed into a category according to the student's major
school. (Students who have majors from more than one school are not
included.) So, there are two variables under consideration: student's
major school ("School of Social Sciences", "School of Engineering", or
"School of Physical Sciences") and response to Question 17 ("No",
"Maybe", or "Yes").
The contingency table below contains a summary of the responses to
Question 17 for a random sample of 500 of Prof. Campbell's students. In
each cell of the table is written three numbers: the first number is the
observed cell frequency (); the second number is the expected cell
frequency (₂) under the assumption that the variables student's major
school and response to Question 17 are unrelated; and the third number
is the following value.
(fo-fe) (Observed cell frequency-Expected cell frequency)²
JE
Expected cell frequency
The numbers labeled "Total" are totals for observed frequency.
Part 1
Fill in the missing values in the contingency table. Round your
expected frequencies to two or more decimal places, and round your
(fo-fa) values to three or more decimal places.
SE
Send data to Excel
Response to
Question 17
"No"
"Maybe"
"Yes"
Total
Student's major school
School of
Physical
Sciences
19
School of
Social
Sciences
53
0
0
53
48.96
0.333
134
0
0
240
(a) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
(b) Find the value Chi-square
more decimal places.)
0
School of
Engineering
30
25.91
0.646
21
25.91
0.930
76
75.18
0.009
127
Total
0
0
28
27.13
0.028
86
0 296
0
133
102
(c) Find the p-value. (Round to three or more decimal
places.)
0
102
500
Part 2
Answer the following to summarize the test of the hypothesis that
the variables student's major school and response to Question 17 are
unrelated. For your test, use the o.os level of significance.
tatistic. (Round to two or
X
(d) Can Prof. Campbell conclude that the variables
student's major school and response to Question 17
are related? Use the 0.05 level of significance.
O Yes No
S
$
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