At a major race, the promoters took a random sample of 750 entrants to estimate the number of runners who will need a hotel accommodation. In the sample, 500 runners responded that they would need hotel accommodations. Use a TI81/83 to answer the following. What is the best point estimate for the true proportion of runners who need a hotel? Find the 99% margin of error. Round to 4 decimals Construct the 99% confidence interval for the population Interpret the 99% confidence interval