Question

Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark brown food paste, made from yeast, that is popular in Australia). He collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Does Not Like the Taste of Likes the Taste of Vegemite Vegemite Male Female The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a todle of the data by converting each variable to a numerical value. He assigns o to "male" and 1 to "Yemale.He then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite." Complete the top two rows of the researcher's data. Likes the Taste of Vegemite Gender 0 = male 1 = female 0 = no 1 = yes

Answer 1

1. There are 4 Females and 6 males in the sample taken hence the top two rows will be males since all the females are already present. There are 4 males who like the taste of vegimite that is also present, hence the values in the top two rows is given as (0,0) & (0,0)

2. The Phi Coefficient is a measure of association between two binary variables hence it is the appropriate correlation for this experiment

3. Calculation Summary

Does not like Likes the taste Male Female в бA - 4co = AD-BC J(A+B)(C+D)(A+C)(B+ D) Numerator Denominato 24 -0.166666667

The phi-coefficient value is -0.16666

The p-value is .40184. The result is not significant at p < .05.