Company executives are considering three possible benefit packages.
a. A random sample of office employees shows the follow- ing preferences for the three packages. Test the hypothesis that the three packages are equally popular with their office employees. Use α = 0.05. Use  α = 0.01.  What is the p-value of this test?
| 
 Package 
 | 
 A 
 | 
 B 
 | 
 C 
 | 
| 
 Number preferring 
 | 
 32 
 | 
 17 
 | 
 35 
 | 
b. A random sample of line employees shows the following preferences for the three packages. Test the  hypothesis that the preferences of office and line employees are the same. Use α = 0.05. Use α = 0.01. What is the p-value of this test?
| 
 Package 
 | 
 A 
 | 
 B 
 | 
 C 
 | 
| 
 Number preferring 
 | 
 48 
 | 
 13 
 | 
 55 
 |