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How to Reduce the Margin of Error to $1/5$ of the Original?

APSTAT-ZVOEUM

A one proportion $z$-interval was constructed. A researcher wants to reduce the margin of error to one-fifth of it's original margin of error.

What would she have to do to the sample size?

A

This cannot be answered without the sample size.

B

Divide the sample size by $5$.

C

Divide the sample size by $25$.

D

Multiply the sample size by $5$.

E

Multiply the sample size by $25$.