To find the effect of a recent policy change on employee morale, a large corporation decides to conduct an opinion survey, asking N randomly selected employees whether they are satisfied or not (i.e. yeso) with the new policy. a. How many employees must be sampled to guarantee a sampling error (95% confidence interval) within +/- 3%? (Hint: Recall class discussion of sample size to meet error margin requirements for unknown proportions.) b. A survey is conducted, using the value of N chosen in part a. This survey reveals that 62.5% of the sampled employees are satisfied with the new policy. What is the 95% confidence interval for p, the proportion of all company employees that are satisfied with the new policy? What is the 99% confidence interval for p? c. Does the 95% confidence interval suggest that a majority of employees are satisfied with the policy? Discuss in 1 or 2 sentences