A study of the Fortune 100 board of director members showed that there were 36 minority women holding board seats out of 202 total female board members. There were 142 minority men holding board seats out of 993 total male board members.
(a) Treating the findings from this study as samples, calculate the sample proportions.
(b) Find the test statistic and its p-value.
(c) At the 5 percent level of significance, is there a difference in the percentage of minority women board directors and minority men board directors? (Data are from "Women and Minorities on Fortune 100 Boards," The Alliance for Board Diversity, May 17, 2005.)