Fairview County Public Library has 516 employees, including 163 librarians. A study of library staff discloses that 3 out of 30 supervisors in library branches are male though men make up 25% of branch librarians. To increase number of male supervisory librarians, library decides to implement affirmative action plan which would consider gender as one component of decision when promoting librarians. Is this affirmative action plan valid? describe your answer.