Question 1: [5 points] As VP of Human Resources with a large fmn that has over 12,000 employees, you are interested in understanding the fraction of employees who are either \"comfortable\" or \"very comfortable\" with returning to in-office work following a period of working from home during the pandemic. A random sample of 220 of your employees revealed that 178 of those surveyed are either \"comfortable\" or \"very comfortable.\" (a) What is the value of the point estimate of the population parameter? (b) Construct a 90% condence interval for the proportion of all the rm '5 employees who are either \"comfortable\" or \"very comfortable\" with returning to inperson work. Interpret the condence interval. (c) Construct and interpret a 95% condence interval for the population proportion. (d) Now suppose you want your 95% condence condence interval to be no more than 4 percentage points wide. How large should your sample be