Question

In a Fox News Poll conducted in October 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" eligible for legal citizenship with a margin of error of 3% at a 95% level of confidence.

Which of the following statements 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."

Answer 1

The correct answer is Option B .

Step-by-step explanation:

As per the data given in the question,

Eligible for legal citizenship = 63%

Error = 3%

Level of confidence = 95%

Here, the CI is 63% ± 3% , which means 60% to 66% and this indicates that with 95% confidence, the true proportion lies between this interval

This is shown by option B

Hence, option B is correct answer