Abstract
In a finite multinomial population, the method of interval estimation for specified single proportion is already well known. It can be applied to the estimation for sum of specified two or more proportions. However, the joint estimation for specified two proportions or estimation for the difference between the two are more complicated than that for single proportion.
This paper provides the confidence regions for specified two proportions and the difference between the two with a degree of confidence coefficient. The confidence coefficient is given below by the minimum value instead of proper one that can be found by further study.
