Step-by-step explanation:
If a media research company increased the size of their random samples from 3,500 to 5,000, to get the percentage margin error, we will follow the steps;
Initial sample size = 3500
Final sample size = 5000
margin error = Final sample size - initial sample size
Margin error = 5000-3500
Margin error = 1500
%margin error = Margin error/Initial sample size * 100%
%margin error = 1500/3500 * 100%
%margin error = 3/7 * 100%
%margin error = 300/7
%margin error = 42.86%
This means that they improved their margin by 42.9% (to the nearest tenth)