13.71 Twenty-five percent of the employees of a large firm have been with the firm less than 10 years, 40% have been with the firm for 10 to 20 years, and 35% have been with the firm for more than 20 years.

Management claims to have randomly selected 20 employees to participate in a drawing for a new car. Of the 20 employees chosen, 3 have fewer than 10 years with the firm, 5 have been there between 10 and 20 years, and 12 have been with the firm for over 20 years. At the 0.025 level of significance, evaluate management’s claim of random selection. Using the chi-square table in Appendix A, what is the most accurate statement that can be made about the exact p-value for the test?