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A survey of British 1,667 folks showed that 86% of respondents believed the Queen had done...

A survey of British 1,667 folks showed that 86% of respondents believed the Queen had done a good job on the throne. What is the margin of the error for this estimate with 95% confidence?

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A survey of British 1,667 folks showed that 86% of respondents believed the Queen had done a good job on the throne

Thus

p = 0.86                 and           1-p = 0.14

n = 1667

To find the margin of the error for this estimate with 95% confidence .

For 95% confidence critical value is given by

= 1.96

Thus Margin of Error ME is given by

ME =  

        =   1.96 *

ME =   1.96 *0.008498562

ME =    0.01665718

Thus required margin of error is 0.01665718

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