Question

Suppose that Gallup wanted to cut the margin of error in half from 3 percentage points to 1.5 percentage points. How should they adjust their sample size

Answer 1

The way that the gallup can adjust their sample size is; to multiply it by 4

What is sample size?

The formula for margin of error is;

E = zs/√n

where;

s is standard deviation

n is sample size

Thus;

Since we want to cut margin of error in half from 3 percentage points to 1.5 percentage points, since the standard deviation and z-score will remain the same, the way to do it will be to increase the sample size by multiplying it by 4.

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