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
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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