It Is Against the Law to Discriminate Against Job Applicants $z$

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 accountant's position in a large corporation, 38 are over 45 years old. If the company decides to choose 88 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 42 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.)