A university is considering implementing one of the following three grading systems: (1) All grades are pass-fail, (2) all grades are on the 4.0 system, and (3) 90% of the grades are on the 4.0 system and 10% are pass-fail. A survey is taken to determine whether there is a relationship between undergraduate major and grading system preference. A random sample of 200 students with engineering majors, 200 students with arts and sciences majors, and 100 students with fine arts majors is selected. Each student is asked which of the three grading systems he or she prefers. The results are shown in the following 3 X 3 contingency table: Grading System 4.0 and Row Marginal Pass-fail 26 Pass-fail 55 Fine arts 19 100 Arts and sciences 24 118 58 200 20 112 68 200 Engineering Column Marginal 70 285 145 500 a. What is a null hypothesis? b. What do you conclude? Use a = 0.05.

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Q.5
A university is considering implementing one of the following three grading systems: (1) All
grades are pass-fail, (2) all grades are on the 4.0 system, and (3) 90% of the grades are on the 4.0
system and 10% are pass-fail. A survey is taken to determine whether there is a relationship
between undergraduate major and grading system preference. A random sample of 200 students
with engineering majors, 200 students with arts and sciences majors, and 100 students with fine
arts majors is selected. Each student is asked which of the three grading systems he or she
prefers. The results are shown in the following 3 X 3 contingency table:
Grading System
Fine arts
Arts and sciences
Engineering
Column Marginal
Pass-fail
26
24
20
70
4.0 and
Pass-fail
55
118
112
285
19
58
68
145
Row Marginal
100
200
200
500
a. What is a null hypothesis?
b.
What do you conclude? Use a 0.05.
Transcribed Image Text:Q.5 A university is considering implementing one of the following three grading systems: (1) All grades are pass-fail, (2) all grades are on the 4.0 system, and (3) 90% of the grades are on the 4.0 system and 10% are pass-fail. A survey is taken to determine whether there is a relationship between undergraduate major and grading system preference. A random sample of 200 students with engineering majors, 200 students with arts and sciences majors, and 100 students with fine arts majors is selected. Each student is asked which of the three grading systems he or she prefers. The results are shown in the following 3 X 3 contingency table: Grading System Fine arts Arts and sciences Engineering Column Marginal Pass-fail 26 24 20 70 4.0 and Pass-fail 55 118 112 285 19 58 68 145 Row Marginal 100 200 200 500 a. What is a null hypothesis? b. What do you conclude? Use a 0.05.
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