### PROPORTIONS TEST FOR TWO INDEPENDENT SAMPLES WHEN NULL HUYPOTHESIS PROBABILITIES
### ARE COMPLETELY SPECIFIED

### DESCRIPTION:
###    Tests 2 samples against specified population parameters
###    Ex:  Ho:  P(1) = .0002, P(2) = .0006

### REQUIRED ARGUMENTS:
###    x = vector of 2 elements containing the number of successes for each sample.
### 	n = vector of 2 elements containing the total number of trials for each sample.
###    p = vector of 2 elements containing the probabilities of success to be 
###        tested in the null hypothesis.
###    NOTE:  elements in x, n, and p must all correspond with one another.

###    conf.level = desired confidence level
###    alternative = "two.sided", "greater", "less"
###
###    correct =	logical flag: if TRUE, Yates' continuity correction will be applied, 
###    but only under certain conditions. When there is only one group, the continuity 
###    correction may not exceed in magnitude the difference between the sample 
###    proportion x/n and the hypothesized true probability of success. When there are
###    two groups, and p is NULL, then the continuity correction may not exceed in 
###    magnitude the difference between the sample proportions. When there are more than 
###    two groups, the continuity correction is never used. 

x <- c(57,142)

n <- c(200745,201229)

p <- c(.0002,.0006)

alternative <- "two.sided"

conf.level <- .95

prop.test(x,n,p=p,alternative=alternative,conf.level=conf.level,correct=T)