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In a recent poll, 430 people were asked if they liked dogs, and 92% said they...

In a recent poll, 430 people were asked if they liked dogs, and 92% said they did. Find the margin of error of this poll, at the 90% confidence level. Give your answer to three decimals

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

n = 430

= 92% = 0.92

1 -   = 1 - 0.92 = 0.08

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z/2 = Z0.05 = 1.645

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 1.645 * (((0.920 * 0.08) / 430)

= 0.022

Margin of error = E = 0.022

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