Each person in a random sample of 20 students at a particula

Each person in a random sample of 20 students at a particular university was asked whether he or she is registered to vote. The responses (

R = registered, N = not registered) are given here:

R  R  N  R  R  N  N  R  N  N  R  N  R  N  N  R  N  R  N  N

Use these data to estimate p, the true proportion of all students at the university who are registered to vote.

Solution

Note that              
              
p^ = point estimate of the population proportion = x / n

Here, we see that
x = number of registered = 9
n = sample size = 20

Thus,

p^ = 0.45 [ANSWER, point estimate for the true proportion]

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In case you need a confidence interval for this, please resubmit this question together with the confidence level required. Thanks!