Question

1. Bernice, a local entrepreneur, wants to know if the color of her hand-made coffee mugs were equally preferred by northern and southern customers. She focused on just 2 color types (red, blue) and divided customers based on living in the north or south of the United States. She then simply kept track of how many blue and red mugs were sold to southern and northern customers.    

   		Chi-square for Goodness of Fit
   		Chi-square for Independence
   		Independent-measures t-test
   		Repeated-measures t-test (paired-samples t-test)

Answer 1

Answer : Chi-square for independence

The Chi-Square Test of Independence determines whether there is an association between categorical variables. Here categorical varibales are colour of mugs and living area of customers.

Explanation:

Chi -square test for Goodness of Fit

It is used to determine whether sample data are consistent with a hypothesized distribution.

For example, suppose a company printed baseball cards. It claimed that 30% of its cards were rookies; 60% were veterans but not All-Stars; and 10% were veteran All-Stars. We could gather a random sample of baseball cards and use a chi-square goodness of fit test to see whether our sample distribution differed significantly from the distribution claimed by the company.

So it is cannot used in this case.

Rest two options are of t-test. T-test are used for numerical varibales not for categorical variables. Here our problem consists of categorical varibales. Therefore we cannot use t-test.