A multinational corporation employing several thousand workers at its campus in a large city would like to estimate the proportion of its employees who commute to work by any means other than automobile. The company hopes to use the information to develop a proposal to encourage more employees to forgo their automobiles as a part of their commute. A pilot study of 100 randomly sampled employees found that 16 commute to work by means other than an automobile. Complete parts a and b below. . ... . a. How many more employees must the company randomly sample to be able to estimate the true population of employees who commute to work by means other than an automobile with a margin of error of 0.04 and a level of confidence of 95%? The company must sample 223 more employees. (Round up to the nearest whole number.) b. Suppose that after the full sample is taken, it was found that 46 employees commute to work by means other than an automobile. Construct a 95% confidence interval estimate for the true population proportion of employees who commute to work using means other than an automobile. (Hint: The sample size will be the total sample size required for part a.) The 95% confidence interval estimate is (Round to three decimal places as needed. Use ascending order.)