Calculate the Confidence Interval with Formulae

In this method, we will use binomial confidence interval in R using this formula:

Syntax: p + c(-qnorm(1-a/2), qnorm(1-a/2))*sqrt((1/100)*p*(1-p))

where,

  • p is the proportional value
  • a is the significance level

R




# p value
p = 52/56
 
# alpha  value
a = 0.05
 
# calculate binomial  interval
print(p + c(-qnorm(1-a/2),
            qnorm(1-a/2))*sqrt((1/100)*p*(1-p)))


Output:

[1] 0.8780946 0.9790482


How to Calculate a Binomial Confidence Interval in R?

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

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