Chapter 12, Problem 19PS

The MSCI 2016 Survey of Women of Boards Survey showed that there continues to be a slow increase in the overall percentage of women of boards globally. The study reported that 69 to 70 $\left(99\%\right)$ French Companies sampled, 39 to 53 $\left(74\%\right)$ German companies sampled, 8 of 22 $\left(36\%\right)$ Irish companies, 15 to 24 $\left(63\%\right)$ Spanish companies, and 12 of 42 $\left(29\%\right)$ Swiss companies sampled have at least three female directors on their boards.

a. Is there evidence of a significant difference among the countries with respect to the proportion of companies who have at least three female directors on their boards? (Use $\alpha =0.05$ ).

b. Determine the p-value and interpret its meaning.

c. If appropriate, use the Marascuilo procedure and $\alpha =0.05$ to determine which groups differ.