In: Statistics and Probability
Sarah Douds was rejected for employment from USA Credit Union. She then learned that USA Credit Union has hired only three women among the last 21 new employees. She then learned that there were a large number of applicants with an approximately equal number of qualified men as qualified women.
Help her address the charge of gender discrimination
by finding the probability of getting three or fewer women when 21
people are hired, assuming that there is no discrimination based on
gender.
(Report answer accurate to 8 decimal places).
P(at most three) =
Because this is a serious claim, we will use a stricter cutoff value for unusual events. We will use 0.5% as the cutoff value (1 in 200 chance of happening by chance). With this in mind, does the resulting probability really support such a charge?
yes, this supports a charge of gender discrimination
no, this does not support a charge of gender discrimination