It Is Against the Law to Discriminate Against Job Applicants

Essay

It is against the law to discriminate against job applicants because of race, religion, sex, or
age. Of the individuals who apply for an accountantʹs position in a large corporation, 43%
are over 45 years old. If the company decides to choose 44 of a very large number of
applicants for closer credential screening, claiming that the selection will be random and
not age-biased, what is the z-value associated with fewer than 20 of those chosen being
over 45 years old? (Assume that the applicant pool is large enough so that x, the number
in the sample over 45 years old, has a binomial probability distribution.)