3. University administrators are increasingly concerned about plagiarism in written work submitted by their students. As a result, several universities have subscribed to a service that scans written work for plagiarism. Students are obliged to submit all their written work through software provided by the service. The software compares this work to a large number of documents on the Web, as well as to a bank of other works submitted by students over several years. If the overlap between a student's submitted work and reference documents (on the Web or in their database) is higher than a critical threshold, the software flags it as possible plagiarism. A committee then looks into these suspect cases individually. The power of the software to detect true plagiarism is extremely high - it essentially catches all true cases. However, the software also incorrectly flags approximately 20% of innocent papers as being plagiarized (the overlap being due to straightforward quotations, common aphorisms, bibliographic references, etc.). The administrative cost of verifying a large number of possible cases can be substantial. If prior information suggests that the true plagiarism rate is 2%, is it worthwhile to continue scanning? Your answer should be based on statistical reasoning.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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3. University administrators are increasingly concerned about plagiarism in written work submitted by their
students. As a result, several universities have subscribed to a service that scans written work for plagiarism.
Students are obliged to submit all their written work through software provided by the service. The software
compares this work to a large number of documents on the Web, as well as to a bank of other works submitted
by students over several years. If the overlap between a student's submitted work and reference documents (on
the Web or in their database) is higher than a critical threshold, the software flags it as possible plagiarism. A
committee then looks into these suspect cases individually.
The power of the software to detect true plagiarism is extremely high - it essentially catches all true cases.
However, the software also incorrectly flags approximately 20% of innocent papers as being plagiarized (the
overlap being due to straightforward quotations, common aphorisms, bibliographic references, etc.). The
administrative cost of verifying a large number of possible cases can be substantial. If prior information suggests
that the true plagiarism rate is 2%, is it worthwhile to continue scanning? Your answer should be based on
statistical reasoning.
Transcribed Image Text:3. University administrators are increasingly concerned about plagiarism in written work submitted by their students. As a result, several universities have subscribed to a service that scans written work for plagiarism. Students are obliged to submit all their written work through software provided by the service. The software compares this work to a large number of documents on the Web, as well as to a bank of other works submitted by students over several years. If the overlap between a student's submitted work and reference documents (on the Web or in their database) is higher than a critical threshold, the software flags it as possible plagiarism. A committee then looks into these suspect cases individually. The power of the software to detect true plagiarism is extremely high - it essentially catches all true cases. However, the software also incorrectly flags approximately 20% of innocent papers as being plagiarized (the overlap being due to straightforward quotations, common aphorisms, bibliographic references, etc.). The administrative cost of verifying a large number of possible cases can be substantial. If prior information suggests that the true plagiarism rate is 2%, is it worthwhile to continue scanning? Your answer should be based on statistical reasoning.
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