Question

In professor Johnson's literature class there are 267 students. At a random check Prof.Johnson notices that 22 students among 59 students did not complete their essays.Can you estimate how many students in Prof. Johnson's class did not finish theiressay?Question 71 pts

Answer 1

We have a class of a total of 267 students.

The professor has a sample of 59 students, where 22 of them did not complete their essays.

This equals a proportion of:

$p=\frac{22}{59}\approx0.373$

If this sample is representative of the class, we can use this proportion to estimate how many students did not complete the essay.

To do that we multiply the total number of students by the proportion we have just calculated:

$X=N\cdot p=267\cdot0.373\approx99.59\approx100$

Answer: it can be estimated that approximately 100 students did not finish their essay.