During a recent drought, a water utility in a certain town sampled 100 residential water bills and found that 73 of the residences had reduced their water consumption over that of the previous year. a. Find a 95% confidence interval for the proportion of residences that reduced theirwater consumption. b. Find a 99% confidence interval for the proportion of residences that reduced theirwater consumption. c. Find the sample size needed for a 95% confidence interval to specify the proportion to within ±0.05. d. Find the sample size needed for a 99% confidence interval to specify the proportion to within ±0.05.