Question

The two-way relative frequency table shows the relative frequencies of late night workers and day workers who do or do not drink coffee. What percent of late night workers do not drink coffee?

Work late night jobs Work day jobs
Drink coffee 0.733 0.455
Don’t drink coffee 0.267 0.545

The answer has to be in percent please help.

Answer 1

26.7 is your answer i hope that helps

Answer 2

26.7 % of late night workers don't drink coffee.

Explanation:

Let's write the data from the two - way relative frequency table :

Workers late night jobs that drink coffee =
`0.733`

Workers late night jobs that don't drink coffee =
`0.267`

Workers day jobs that drink coffee =
`0.455`

Workers day jobs that don't drink coffee =
`0.545`

If we want to find the percent of late night workers that don't drink coffee we need to look at the part of the table that has the information about late night workers.

On that side of the frequency table, we can see that the relative frequency of late night workers that don't drink coffee is
`0.267`

This relative frequency means that for example, in a sample of 1000 late night workers :

`(1000).(0.267)=267`

Approximately 267 of late night workers in the sample of 1000 don't drink coffee.

If we want to express this result using percent we need to multiply the relative frequency by 100 ⇒

`(0.267).100=26.7`

Approximately 26.7 % of the late night workers don't drink coffee.