If 20% of all manually filed returns contain errors, and 0.05% of all electronically filed returns contain errors, how much more likely is a manual filer to make an error than an electronic filer?a. 40,000 times more likely b. 4,000 times more likely c. 400 times more likely d. 40 times more likely

The manual filer is 400 times more likely to make an error than the electronic filer

Step-by-step explanation:

In order to find how much more likely it is for the manual filer to make an error than the electronic filer, we can allocate figures to enable us solve a practical example:

So, let's assume that 2,000 returns were manually filed and 2,000 more returns were electronically filed as well. If 20% of the manually filed return contains errors, the quantity of errors in the manually filed return is then:

(20/100) × 2000

= 400 errors

On the other hand, if 0.05% of the electronically filed return contains errors, the quantity of errors in the manually filed return is then:

(0.05/100) × 2000

= 1 error

So, for every error in the electronically filed return, there are 400 errors in the manually filed return.

We can also calculate this by simply dividing the percentage of errors in the manually filed return by the percentage of errors in the electronically filed return:

= 20%/0.05%

= 400 times

Therefore, we can conclude that the manual filer is 400 times more likely to make an error than the electronic filer

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