There are a total of 27 people in an application pool, that are equally qualified for a job. The pool consists of; 19 females  and 8 males  There are 4 job openings for 4 different people. Type your answers as a decimal to 4 decimal places.  4. If all 4 people that are hired are female, does your answer to the previous problem indicate that this was due to gender bias in the hiring process? Note: If the probability of randomly hiring only females for the 4 open positions is less than 5%, then we will say that this is so unlikely, that there is gender bias in the hiring process. Yes, this supports a charge of gender dicrimination. There is less than a 1% chance that this could happen by chance Yes, this supports a charge of gender discrimination. There is less than a 5% chance that this could happen by chance No, this does not support a charge of gender discrimination. It is impossible to tell.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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There are a total of 27 people in an application pool, that are equally qualified for a job. The pool consists of;

19 females  and 8 males

 There are 4 job openings for 4 different people. Type your answers as a decimal to 4 decimal places. 

4. If all 4 people that are hired are female, does your answer to the previous problem indicate that this was due to gender bias in the hiring process?
Note: If the probability of randomly hiring only females for the 4 open positions is less than 5%, then we will say that this is so unlikely, that there is gender bias in the hiring process.

  • Yes, this supports a charge of gender dicrimination. There is less than a 1% chance that this could happen by chance
  • Yes, this supports a charge of gender discrimination. There is less than a 5% chance that this could happen by chance
  • No, this does not support a charge of gender discrimination.
  • It is impossible to tell.
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