1. A national public television network has found that 35% of its contributions are for less than $20, with 45% for $20-$50, and 20% for more than $50. In a random sample of 200 of the contributions to a local station, 42% were for less than $20, 43% were for $20-$50, and 15% were over $50. At the 0.05 level, does the local station's distribution of contributions differ significantly from that experienced nationally?
2. 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, evalu- ate management's claim of random selection. Using the chi-square table in Appendix A, what is the most accu- rate statement that can be made about the exactp-value for the test?