sensitivity=0.80 # Pr(reject|H1)
specificity=1-0.05
alpha=1-specificity. # Pr(reject|H0)

n=1000
prior=0.1

prop.p<- function (){
a=rbinom(1,n, prior)
b=rbinom(1,n, prior)
prop.test(c(a,b),c(n,n))$p.value
}
k=1000
re=replicate (k,prop.p()1)
hist(re)
mean(re<0.05)
mean (0.045<re & re<0.050)

TP=sensitivfity*prior
do qFP=(1-prior)*(1-sensitivity)
FPRP=FP/(TP+FP)