Prof. Pham 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. Pham is how she is viewed by students of different majors. Each of Prof. Pham'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. Pham'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 f) 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. (Observed cell frequency-Expected cell frequency)² Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 (fo-fz) fz Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your three or more decimal places. $₂ values to

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Prof. Pham

Prof. Pham 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. Pham is how she is viewed by students of different majors. Each of Prof.
Pham'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. Pham's students. In each cell of the table
is written three numbers: the first number is the observed cell frequency fo); the second number is the expected cell frequency f) 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.
(Observed cell frequency-Expected cell frequency)²
(fo-fz)
fz
Expected cell frequency
The numbers labeled "Total" are totals for observed frequency.
Part 1
(fo-12)²
Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your
three or more decimal places.
Send data to Excel
Response to
Question 17
"No"
"Maybe"
"Yes"
Total
School of
Social
Sciences
46
0
0
✔
45
0
161
148.18
1.109
252
Student's major school
(a) Determine the type of test statistic to use.
Type of test statistic: [(Choose one) ▼
School of
Engineering
32
27.46
0.751
21
26.93
1.306
79
77.62
0.025
132
School of
Physical
Sciences
26
0
0
36
(c) Find the p-value. (Round to three or more decimal places.)
0
0
54
68.21
2.960
116
(b) Find the value of the test statistic. (Round to two or more decimal places.)
Total
104
102
294
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.
500
(d) Can Prof. Pham 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
values to
X
Español
LS
Transcribed Image Text:Prof. Pham 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. Pham is how she is viewed by students of different majors. Each of Prof. Pham'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. Pham's students. In each cell of the table is written three numbers: the first number is the observed cell frequency fo); the second number is the expected cell frequency f) 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. (Observed cell frequency-Expected cell frequency)² (fo-fz) fz Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 (fo-12)² Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your three or more decimal places. Send data to Excel Response to Question 17 "No" "Maybe" "Yes" Total School of Social Sciences 46 0 0 ✔ 45 0 161 148.18 1.109 252 Student's major school (a) Determine the type of test statistic to use. Type of test statistic: [(Choose one) ▼ School of Engineering 32 27.46 0.751 21 26.93 1.306 79 77.62 0.025 132 School of Physical Sciences 26 0 0 36 (c) Find the p-value. (Round to three or more decimal places.) 0 0 54 68.21 2.960 116 (b) Find the value of the test statistic. (Round to two or more decimal places.) Total 104 102 294 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. 500 (d) Can Prof. Pham 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 values to X Español LS
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