1. Consider the CTI-graduates problem. The Dean would like to estimate
   the proportion of CTI-2003 graduates that were offered positions by
   IT consulting firms. 

   a) For a random sample of thirty-six graduates, twenty-four were offered 
      positions by IT consulting firms. Construct and interpret an 80%
      confidence interval for the population proportion.   
   b) Determine the minimum sample size required if the Dean requires
      a level of accuracy of 0.03 with 99% confidence.

2. Consider the data quality problem. The CFO at a local financial
   institution circulates a data quality memo to several senior managers 
   that argues that half of the data (i.e. tuples) in the organizations 
   central database is incorrect. The CIO responds with a memo that
   acknowledges data quality problems, but argues that data quality is
   much better than the CFO contends. As evidence, he cites a recently
   conducted experiment where 45 of 75 randomly selected tuples from the
   database were found to be free of errors. Given these details,
   conduct a test of hypotheses.