In a recent poll, 510 people were asked if they liked dogs, and 62% said they did. Find the Margin of Error for this poll, at the 95% confidence level. Give your answer to four decimal places if possible.

0.0421

Step-by-step explanation:

Given that

There are 510 people who asked they liked dogs

62% said that yes

We need to find out the margin of the error

So,

standard error is

= sqrt(0.62 × 0.38 ÷ 510)

= 0.0215

now the margin of error is

= 0.0215 × 1.96  z score

= 0.0421