Hi so I got this question wrong but I can't figure out why. The only feedback I got was "what was the confidence interval?"

A survey company polls 3,560 voters about whether they plan to vote for the Liberal or the Conservative candidate. They find that 51% of voters prefer the Liberal candidate. The company asks you to advise them whether they can declare the Liberal candidate the likely winner, with nor more than a 5% chance of being wrong. What is your advice? Why?

MY ANSWER:

The interval is less than 50% which means that we cannot confirm the liberal candidate the winner, with no more than a 5% chance of being wrong. The figure reveals that there is a 95% probability that about 50% of voters voted for liberals, which explains why the interval is less than 51.