Find a 99% confidence interval for p. Give a brief interpretation of the meaning of the confidence interval you have found. Before constructing the confidence interval using a normal approximation to the binomial distribution, first check that np̂ > 5 and nq̂ > 5, where n is the number of judges in the sample, 525, p̂ was previously computed to be p̂ = 0.5295, and q̂ = 1 − p̂. Compute np̂ and nq̂, rounding the results to the nearest whole number.