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A student at RHAM high school wondered what percent of the students in her school were left-handed. She randomly sampled $150$ students at her school and found $21$ of them to be left-handed.

Which of the following represents a $95\%$ confidence interval for the proportion of left-handed students at RHAM High School?

A

$0.14\pm 1.96\sqrt { \cfrac { (0.14)(0.86) }{150 } }$

B

$0.14\pm 1.96\sqrt { (0.14)(0.86) }$

C

$0.86\pm 1.96\sqrt { \cfrac { (0.14)(0.86) }{ 150 } }$

D

$0.86\pm 1.96\sqrt { (0.14)(0.86) }$

E

$0.86\pm 2.576\sqrt { (0.14)(0.86) }$

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