A media research company increased the size of their random samples from 3 comma 500to 5 comma 000.By how much, to the nearest tenth of a percent, did this improve their margin of error?

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)

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step-by-step explanation: