Dylan worked as an IT manager. Dylan managed a team of 45 people. After Dylan quit, a new IT manager was hired. The new manager, Linda believes that these employees actually spend about 15% of their time waiting for files to be down- and uploaded, as well as copied to and read from their hard drives, and she is evaluating purchasing state-of-the-art solid-state drives, whose speed is estimated to be 10 times faster than that of the existing computers. For this purpose, Linda wants to perform a work sampling study to determine the proportion of time employees are waiting for files to be available, as described above. Linda wants to determine this proportion within 2%, with a 95% degree of confidence. a. What is the number of observations required? b. The manager, Linda, wants to limit the number of observations to 500 but wants the confidence interval to remain the same. What would be the new actual degree of accuracy in determining the proportion?