The HR department is trying to fill a vacant position for a job with a small talent pool. Valid applications arrive every week or so, and the applicants all seem to bring different levels of expertise. For each applicant, the HR manager gathers Information by trying to verify various claims on the candidate's résumé, but some doubt about "fit" always lingers when a decision to hire or not is to be made. Suppose that hiring an employee who is a bad fit for the company results in an error cost of $300, but failing to hire a good employee results in an error cost of $300 to the company. Although it is impossible to tell in advance whether an employee is a good fit, assume that the probabliity that an applicant is a "good fit" is 0.55, while the probability that an applicant is a "bad fit" is 1-0.55 0.45. Hiring an applicant who is a good fit, as well as not hiring an applicant who is a bad fit, results in no error cost to the company. For each decision in the following table, calculate and enter the expected error cost of that decision. Reality Decision Good Fit p=0.55 Cost: 0 Bad Fit p=0.45 Cost: $300 Expected Error Cost Hire Do Not Hire Cost: $300 Cost: 0 Suppose an otherwise qualified applicant applies for a job. In order to minimize expected error costs, the HR department should the applicant.

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The HR department is trying to fill a vacant position for a job with a small talent pool. Valid applications arrive every week or so, and the applicants all
seem to bring different levels of expertise. For each applicant, the HR manager gathers Information by trying to verify various claims on the
candidate's résumé, but some doubt about "fit" always lingers when a decision to hire or not is to be made.
Suppose that hiring an employee who is a bad fit for the company results in an error cost of $300, but failing to hire a good employee results in an
error cost of $300 to the company. Although it is impossible to tell in advance whether an employee is a good fit, assume that the probability that an
applicant is a "good fit" is 0.55, while the probability that an applicant is a "bad fit" is 1-0.55 0.45. Hiring an applicant who is a good fit, as well as
not hiring an applicant who is a bad fit, results in no error cost to the company.
For each decision in the following table, calculate and enter the expected error cost of that decision.
Reality
Good Fit
Bad Fit
Decision
p=0.55
p=0.45 Expected Error Cost
Hire
Cost: 0
Cost: $300
Do Not Hire Cost: $300
Cost: 0
Suppose an otherwise qualified applicant applies for a job.
In order to minimize expected error costs, the HR department should
the applicant.
Transcribed Image Text:The HR department is trying to fill a vacant position for a job with a small talent pool. Valid applications arrive every week or so, and the applicants all seem to bring different levels of expertise. For each applicant, the HR manager gathers Information by trying to verify various claims on the candidate's résumé, but some doubt about "fit" always lingers when a decision to hire or not is to be made. Suppose that hiring an employee who is a bad fit for the company results in an error cost of $300, but failing to hire a good employee results in an error cost of $300 to the company. Although it is impossible to tell in advance whether an employee is a good fit, assume that the probability that an applicant is a "good fit" is 0.55, while the probability that an applicant is a "bad fit" is 1-0.55 0.45. Hiring an applicant who is a good fit, as well as not hiring an applicant who is a bad fit, results in no error cost to the company. For each decision in the following table, calculate and enter the expected error cost of that decision. Reality Good Fit Bad Fit Decision p=0.55 p=0.45 Expected Error Cost Hire Cost: 0 Cost: $300 Do Not Hire Cost: $300 Cost: 0 Suppose an otherwise qualified applicant applies for a job. In order to minimize expected error costs, the HR department should the applicant.
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