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You are unsure if a coin is balanced or not, so you flip it many times.

Giving the estimate closest to your solution, about how many flips should you perform to make sure that you are within $1\%$ of the true proportion, based on a $95\%$ confidence interval?

A

$100$

B

$1{,}000$

C

$5{,}000$

D

$10{,}000$

E

$12{,}500$

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