frac.test <- function(x, y, ...){
px <- x[1]/sum(x)
py <- y[1]/sum(y)
nx <- sum(x)
ny <- sum(y)
varx <- px*(1-px)/nx
vary <- py*(1-py)/ny
diff <- px-py
vardiff <- varx+vary
z <- diff/sqrt(vardiff)
p.value <- pnorm(z, lower.tail=TRUE)
list(z=z, p.value=p.value)
}
## H0: p1 = p0
## H1: p1 > p0
#### eqivalent with
## H0: diff10 = 0
## H1: diff10 > 0
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