Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

A company has 200 employees. The company’s owner randomly chose 30 employees for an in-depth survey. Of those surveyed, 12 employees said they work overtime on a regular basis.

What is the best estimate of the percent of the company’s employees who work overtime on a regular basis?

Answer 1

We know that 12 out of 30 employees said they work overtime on a regular basis. If we assume that this sample represents well all the employees, we can extend this proportion to all employees:

`12/ 30 = x / 200 \iff x = (12\cdot 200)/(30) = 80`

So, if 12 out of 30 randomly selected employees said they work overtime on a regular basis, we assume that 80 out of all the 200 employees work overtime on a regular basis.

Note that this is a strong assumption: in the worst case, there are 12 employees working overtime, and we have been unlucky to pick them all in our sample.

Anyway, if our assumption is correct, knowing that 80 out of 200 employees work overtime on a regular basis leads to a percentage of

`(80)/(200)=(40)/(100)=40\%`

Answer 2

Answer: 40%

Explanation:

To find the percent of employees that work overtime, we can set up the ratio:
`(overtime)/(total)`

`(12)/(30)=0.4\implies \large\boxed{40\%}`

BONUS: If the question asked how many employees they estimate to work overtime, we would multiply 200 by 0.4 = 80 employees