Question

In a recent poll, 480 people were asked if they liked dogs, and 56% said they...

In a recent poll, 480 people were asked if they liked dogs, and 56% said they did. Find the margin of error of this poll, at the 95% confidence level.

Give your answer to three decimals

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

Point estimate () = 0.56

1 - = 0.44

Z/2 = 1.96

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

= 1.96 * ((0.56 * 0.44) / 480)

= 0.044

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.56 - 0.044 < p < 0.56 + 0.044

0.516‬ < p < 0.604‬

(0.516‬, 0.604‬)

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