A certain polling company finds in a survey of 30 voters that a presidential candidate is favored to win with 51% of the votes. Construct a 99% confidence interval for the true proportion of all voters in favor of the candidate. n = 30, p̂ = 0.51, q̂ = 0.49, α = 0.01, z = 2.576. The confidence interval is between 0.27 and 0.70. The margin of error is 0.013. The lower limit of the confidence interval is 0.510255 and the upper limit is 0.689745.