Hello, I am new to this site. I am taking a basic stats class online and I am working on a homework problem with a friend that we are a little stumped. The question is:

An opinion poll says that the result of their latest sample has a margin of error of plus or minus three percentage points. This means that...

a) We can be certain that the poll result is within three percentage points of the truth about the population.

b) We could be certain that the poll result is within three percentage points of the truth if there we no no-response.

c)The poll used a method that gives a result within three percentage points of the truth in 95% of all samples

I am thinking that it is "a" because from my understanding when you have a margin of error it takes into account everything. My friend is saying that it is "b" and we have ruled out "c" all together.

Thank you in advance for any help that you may have!