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:
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:
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 28E
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Solve the given problem.
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
Transcribed Image Text:Grading System
Pass-Fail
4.0 and Pass-Fail
4.0
Row Marginal
Fine Arts
26
55
19
100
Arts & Sciences
24
118
58
200
Engineering
20
112
68
200
Column
70
285
145
500
Marginal
Note: Use a = 0.05
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