[R] Resampling with replacement on a binary (0, 1) dataset to get Cis

[lincoln]

Thanks.

So, suppose for one specific year (first year over 10) the percentage of
successes deriving from 100 trials with 38 successes (and 62 failures), its
value would be 38/100=0.38.
I could calculate its confidence intervals this way:
> success<-38
> total<-100
> prop.test(success,total,p=0.5,alternative="two.sided")

	1-sample proportions test with continuity
	correction

data:  success out of total, null probability 0.5 
X-squared = 5.29, df = 1, p-value = 0.02145
alternative hypothesis: true p is not equal to 0.5 
95 percent confidence interval:
 0.2863947 0.4829411 
sample estimates:
   p 
0.38 

So it would be var$1=0.38 , CI=0.286-0.483

Is it correct?

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