Use the prop.test() function

This function is used to calculate the 95% binomial confidence interval.

Syntax: prop.test(x, n, conf.level=.95, correct=FALSE)

where,

• x is the input variable
• n is the sample size
• conf.level is the confidence level which is used to calculate the 95% binomial confidence interval.

Output:

    1-sample proportions test without continuity correction

data:  34 out of 100, null probability 0.5
X-squared = 10.24, df = 1, p-value = 0.001374
alternative hypothesis: true p is not equal to 0.5
95 percent confidence interval:
 0.2546152 0.4372227
sample estimates:
   p 
0.34 

In this article, we will discuss how to calculate a Binomial Confidence interval in R Programming Language. We can calculate Binomial Confidence Interval by using the below formulae:

p  +/-  z*(√p(1-p) / n)

where,

• p is for the  proportion of successes
• z is  the chosen value
• n is the  sample size

We can calculate by using the below methods