A statistician read that at least \(77 \%\) of the population oppose replacing \(\$ 1\) bills with \(\$ 1\) coins. To see if this claim is valid, the statistician selected a random sample of 80 people and found that 55 were opposed to replacing the \(\$ 1\) bills. At \(\alpha=0.01\), test the claim that at least \(77 \%\) of the population are opposed to the change.