A 2005 study found that 202 women held board seats out of total of 1,195 seats in the Fortune 100 companies. A 2003 study found that 779 women held board seats out of a total of 5,727 seats in Fortune 500 companies. Treating such as random samples (since board seat assignments change often), can we conclude that Fortune 100 companies have the greater proportion of women board members than the Fortune 500? (a) Determine the hypotheses. (b) Compute the sample proportions. (c) Find out the test statistic and its p-value. Determine your conclusion at ? = .05? (d) If statistically significant, can you suggest factors that might explain the increase?