A college register has received numerous complaints about the online registration procedure at her college, alleging that the system is slow, confusing, and error prone. She wants to estimate the proportion of all students at this college who are dissatisfied with the online registration procedure. a. What is the most conservative estimate of the sample size that would limit the margin of error to be within 0.05 of the population proportion for a 99% confidence interval? [4] b. Find the 95% confidence interval of the population proportion