2. A recommendation form for a graduate school allows the reference to choose between 2 options: recommend and do not recommend. The table gives a summary of responses for 800 randomly selected applicants and if the applicant was currently working on a master's degree or a bachelor's degree. a) What are the estimated odds of being recommended (over not recommended) b) What are the estimated odds of being recommended (over not recommended) for Master's students c) what is the estimated relative risk of being recommended for bachelor's over master's (include a confidence interval)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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2. A recommendation form for a graduate school allows the reference to choose between 2 options: recommend and do not recommend. The table gives a
summary of responses for 800 randomly selected applicants and if the applicant was currently working on a master's degree or a bachelor's degree.
a) What are the estimated odds of being recommended (over not recommended)
b) What are the estimated odds of being recommended (over not recommended) for Master's students
c) what is the estimated relative risk of being recommended for bachelor's over master's (include a confidence interval)
d) What is the estimated difference in percent of bachelor's and master's students who are recommended (include a confidence interval)
e) What is the estimated odds ratio of recommended bachelor's over recommended master's students (include a confidence interval)
f) Based on d would you say there is a difference in the percent of recommended applicants for the two groups? Explain
g) Based on C and E would you say that being recommended is independent or dependent on which level the student is? Explain
OBSERVED
MASTER'S
BACHELOR'S
ТОTAL
Recommend
117
567
684
Do Not Recommend
31
85
116
TOTAL
148
652
800
Transcribed Image Text:2. A recommendation form for a graduate school allows the reference to choose between 2 options: recommend and do not recommend. The table gives a summary of responses for 800 randomly selected applicants and if the applicant was currently working on a master's degree or a bachelor's degree. a) What are the estimated odds of being recommended (over not recommended) b) What are the estimated odds of being recommended (over not recommended) for Master's students c) what is the estimated relative risk of being recommended for bachelor's over master's (include a confidence interval) d) What is the estimated difference in percent of bachelor's and master's students who are recommended (include a confidence interval) e) What is the estimated odds ratio of recommended bachelor's over recommended master's students (include a confidence interval) f) Based on d would you say there is a difference in the percent of recommended applicants for the two groups? Explain g) Based on C and E would you say that being recommended is independent or dependent on which level the student is? Explain OBSERVED MASTER'S BACHELOR'S ТОTAL Recommend 117 567 684 Do Not Recommend 31 85 116 TOTAL 148 652 800
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