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A student is trying to determine the association between gender and color prefer

ID: 3171123 • Letter: A

Question

A student is trying to determine the association between gender and color preference of cars bought. A survey of recent car buyers was conducted to collect information on gender and color of the car chosen. Gender is coded as 1=Male, 2=Female, whereas color is coded as 1=Black, 2=White, 3=Blue, 4=Other. How would the student analyze this data?

a. Calculate a Pearson correlation coefficient between gender and color.

b. Calculate a Chi-square test using Crosstab between gender and color.

c. Calculate a test of independent sample t-test.

d. Calculate a paired-sample t-test.

e. calculate means of gender and color.

b. Calculate a Chi-square test using Crosstab between gender and color.

c. Calculate a test of independent sample t-test.

d. Calculate a paired-sample t-test.

e. calculate means of gender and color.

Explanation / Answer

Solution:-

(b). Calculate a Chi-square test using Crosstab between gender and color.

The Chi-Square test of Independence is used to determine if there is a significant relationship between two nominal (categorical) variables. The frequency of one nominal variable is compared with different values of the second nominal variable. The data can be displayed in an R*C contingency table, where R is the row and C is the column.