8. The success of a federally funded, locally administered manpower program was measured by the propor- tion of clients who moved from subsidized employment into unsubsidized (private sector) employment and remained there for a certain length of time. A random sample of n = 376 clients of the program produced the following results (this question is worth 4 marks). Education 8 years or less 9 to 11 years Success 13 76 12 years 107 13 years or more 32 Failure 19 45 65 19 i. Estimate the marginal probabilities of success and failure. ii. Test the hypothesis that the program outcomes are independent of educational level using a x test of independence.