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

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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

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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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