Solve the following problems following the sequential steps of hypothesis testing. 1. In a recent CPA Board Examination, 60 out of 80 students from St. Michaels College of Accountancy and 72 out of 98 students of St. Peters College of Accountancy passed. Are the students of St. Michaels better than the students of St. Peters? Use 5% level of significance.

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
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Solve the following problems following the sequential steps of hypothesis testing.
1. In a recent CPA Board Examination, 60 out of 80 students from St. Michaels
College of Accountancy and 72 out of 98 students of St. Peters College of
Accountancy passed. Are the students of St. Michaels better than the students
of St. Peters? Use 5% level of significance.
2. As part of an industrial training program, some trainees are instructed by
method 1, which is by teaching machines as well as some personal attention
by an instructor, and some are instructed as method 2, which is by straight
teaching machine instruction, and the following are the scores they obtained
on an appropriate achievement test:
Method 1
81
71
79
83
76
75
84
90
83
78
Method 2
69
75
72
69
67
74
70
66
76
72
Compare the effectiveness of the two methods at 5% level of significance.
Transcribed Image Text:Solve the following problems following the sequential steps of hypothesis testing. 1. In a recent CPA Board Examination, 60 out of 80 students from St. Michaels College of Accountancy and 72 out of 98 students of St. Peters College of Accountancy passed. Are the students of St. Michaels better than the students of St. Peters? Use 5% level of significance. 2. As part of an industrial training program, some trainees are instructed by method 1, which is by teaching machines as well as some personal attention by an instructor, and some are instructed as method 2, which is by straight teaching machine instruction, and the following are the scores they obtained on an appropriate achievement test: Method 1 81 71 79 83 76 75 84 90 83 78 Method 2 69 75 72 69 67 74 70 66 76 72 Compare the effectiveness of the two methods at 5% level of significance.
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