Recall Exercise 8.3.13 on commercial models and their eye colors. The researchers also explored the eye colors of registered commercial models in Brazil. They sampled from 400 profiles of females registered as commercial models in Brazil and found that 76 had blue eyes, 210 had brown eyes, and 114 other colors. They reported that another study showed that 8% of female Brazil residents are thought to have blue eyes, 74% have brown eyes, and 18% other colors. 

a. What are the expected frequencies for each eye color of the Brazilian models if the eye colors are distributed in the same way as those of all female Brazil residents? 

b. Write out the hypotheses. 

c. Calculate the test statistic and appropriate p-value. 

d. State your conclusion in the context of the research question.

Data from Exercises 8.3.13

Do female models have eye colors that are distributed differently than those of the population of their country? That is a question that UK researchers were interested in exploring (Forti, 2016). They sampled from 400 profiles of females registered as commercial models in the United Kingdom and found that 187 had blue eyes, 120 had brown eyes, and 93 other colors. They reported that another study showed that 71.5% of female UK residents are thought to have blue eyes, 21% have brown eyes, and 7.5% other colors.