The GMI Ratings' 2012 Women on Boards Survey showed incremental improvements in most measures of female board representation in the past year. The study reported that 90 of 101 (89%) of French companies sampled, 136 of 197 (69%) of Australian companies sampled, 26 of 28 (93%) of Norwegian companies sampled, 27 of 53 (51%) of Singaporean companies, and 95 of 134 (71%) of Canadian companies sampled have at least one female director on their boards. (Data extracted from bit .ly/zBAnYv.)
a. Is there evidence of a significant difference among the countries with respect to the proportion of companies who have at least one female director on their boards? (Use a = 0.05).
b. Determine the p-value and interpret its meaning.
c. If appropriate, use the Marascuilo procedure and a = 0.05 to determine which countries differ.