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 TOTAL Recommend 117 567 684 Do Not Recommend 31 85 116 TOTAL 148 652 800
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 |
TOTAL |
|
Recommend |
117 |
567 |
684 |
|
Do Not Recommend |
31 |
85 |
116 |
|
TOTAL |
148 |
652 |
800 |
As per guidelines we will only answer first three subparts, please repost other subparts for more answer.
Given information:
| Master's | Bachelor's | Sum | |
| Recommend | 117 | 567 | 684 |
| Do Not Recommend | 31 | 85 | 116 |
| Sum | 148 | 652 | 800 |
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