Question

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

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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