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

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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