1. For some population, the relative size of the group of interest is 
   known to be pi=0.80. Considering the sampling distribution of p, answer
   the following.
    
   a) What percentage of samples of size n=64 would you expect to result 
      in a sample proportion (i.e. relative sample size) greater than 0.85.
   b) What percentage of samples of size n=400 would you expect to result 
      in a sample proportion (i.e. relative sample size) greater than 0.85.
 
2. A local company assembles customized workstations. The quality assurance 
   department monitors the quality of components from suppliers by selecting 
   random samples from each delivered batch and then rigorously testing each 
   component in the batch. The chief quality assurance engineer is interested 
   in a large batch of recently delivered disk drives. She examines a sample 
   of 100 drives and discovers that 10 do not meet specifications. Given that 
   pi denotes the relative size of the group of interest (i.e. drives that
   do not meet specifications), answer the following:
 
   a) Provide a point estimate for pi.
   b) Determine the error in your estimate. 
   c) Determine the margin of error.
   d) Construct and interpret a 99% confidence interval for pi.