Answer to Question #341768 in Statistics and Probability for Ernest

Question

For a particular school year, the registrar of a university wanted to know the proportion of students who are enrolled in the Sciences. The enrollment data showed total enrollment of 6 534 students. Of this total, there were 4 286 enrolled in various Science courses. What do the numbers say about the course preferences of the students?

Answer 1

When $X$ is a binomial rv with parameters $n$ and $p,$ the sample proportion $X/n$ is an unbiased estimator of $p.$

$$p=\dfrac{X}{n}=\dfrac{4286}{6534}=0.656$$

65.6% of students are enrolled in the various Science courses.