In a Fox News Poll conducted in October of 2011 904 register

In a Fox News Poll conducted in October of 2011, 904 registered voters nationwide answered the following question “Do you think illegal immigrants who have lived in the United States since they were children should be eligible for legal citizenship, or not?” 63% answered “should be” with a margin of error of 3% at a 95% level of confidence.Which statement is correct?

A.We are 95% confident that 63% of all registered voters nationwide will answer “should be.”
   
B. We are 95% confident that between 60% and 66% of all registered voters nationwide will answer “should be.”

C. We are 95% confident that between 63% and 66% of all registered voters nationwide will answer “should be.”

D. 95% of the 904 registered voters in the sample answered “should be.”

Solution

Here, the CI is 63%+-3% which means (60% to 66%), and this means that with 95% confidence, the true proportion lies between this interval.

this is shown by option (B)