Question

Gender	Jessepe’s	Guidio’s
Male	50/150	180/360
Female	200/250	36/40
Combined

1. Determine the percentage of men who prefer each as well as the females.
2. Determine the combined percentage that preferred each restaurant.
3. Does the result depict an example of Simpson’s Paradox? Explain.

Answer 1

a.
Percentage of men who prefer Jessepe’s = (50/150) * 100 = 33.33%

Percentage of men who prefer Guidio’s = (180/360) * 100 = 50%

Percentage of women who prefer Jessepe’s = (200/250) * 100 = 80%

Percentage of women who prefer Guidio’s = (36/40) * 100 = 90%

b.

Combined percentage that preferred Jessepe’s = (50 + 200) * 100 / (150 + 250) = 62.5%

Combined percentage that preferred Guidio’s = (180 + 36) * 100 / (360 + 40) = 54%

c.

Higher percentage of men and women prefer Guidio’s but combined percentage prefers Jessepe’s more than  Guidio’s.

Thus the result depict an example of Simpson’s Paradox.