Recall that in the week 2 assignment, a certain company hired three new managers from a pool of seven men and five women. All three hires were women, and the men complained of gender bias. Compute the theoretical probability that a fair selection process (in which each person is equally likely to be hired) would result in three women being hired. Do the men have a case?

Question

Recall that in the week 2 assignment, a certain company hired three new managers from a pool of seven men and five women.  All three hires were women, and the men complained of gender bias.  Compute the theoretical probability that a fair selection process (in which each person is equally likely to be hired) would result in three women being hired.  Do the men have a case?

PsyDAG · Answer

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

5/12 * 4/11 * 3/10 = ?

What level of significance would you be using? P ≤ .05?
p ≤ .01?