if 20% of all manually filed returns contain errors, and 0.05% of all electronically filed returns contain…

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?\na. 40,000 times more likely\nb. 4,000 times more likely\nc. 400 times more likely\nd. 40 times more likely\n\nplease select the best answer from the choices provided\n\n○ a\n○ b\n○ c\n○ d

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?\na. 40,000 times more likely\nb. 4,000 times more likely\nc. 400 times more likely\nd. 40 times more likely\n\nplease select the best answer from the choices provided\n\n○ a\n○ b\n○ c\n○ d

Answer

Explanation:

Step1: Convert percentages to decimals

$20% = 0.2$ and $0.05%=0.0005$

Step2: Calculate the ratio

$\frac{0.2}{0.0005}=\frac{2000}{5} = 400$

Answer:

C. 400 times more likely