Question

In a recent poll, 560 people were asked if they liked dogs, and 7% said they...

In a recent poll, 560 people were asked if they liked dogs, and 7% 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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Homework Answers

Answer #1

Solution :

Given that,

n = 560

=7% = 0.07

1 - = 1 - 0. 07= 0.93

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 * (((0.07 * 0.93) / 560) = 0.018

Margin of error = E = 0.018

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