Question

A MSCI survey showed that there continues to be a slow increase in the overall percentage of women on boards of directors globally. The study reported that 7 of 22 (32%) Austrian companies sampled, 86 of 103 (83%) French companies sampled, 40 of 92 (43%) German companies sampled, 5 of 31 (16%) Irish companies sampled, and 37 of 55 (67%) Italian companies sampled have at least three female directors on their boards.

1. Develop and populate a frequency and percentage table to show the number and percentage differences between the countries on their female representation on its companies’ boards of directors.

	Austrian	French	German	Irish	Italian	Total
At least 3	7	86	40	5	37	175
Less than 3	15	17	52	26	18	128
Total	22	103	92	31	55	30

2. 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 the probability of 0.05.
3. Determine the p-value and interpret its meaning.
4. If appropriate, use the Marascuilo procedure and p =0.05 to determine which countries differ.
   

Answer 1

a)

yes

b)

p-value = chisq.dist.rt(64.485,4) = 0

since p-value is less than alpha

we reject the null hypothesis

it means that thr probability of getting statistic equal to extreme than when null hypothesis is true is less than 0.0000001