Question

A color code personality test categorizes people into four colors – Red (Power), Blue (Intimacy), Green (Peace), and Yellow (Fun). In general, 25% of people are Red, 35% Blue, 20% Green, and 20% Yellow. An art class of 45 students is tested at a university and 7 are found to be Red, 18 Blue, 9 Green, and 11 Yellow.

Can it be concluded that personality type has an impact on students’ areas of interest and talents, such as artistic students and state the p-value? Test at a 0.05 level of significance.

	Red	Blue	Green	Yellow
Observed Counts	7	18	9	11
Expected Counts	11.25	15.75	9	9

Answer 1