Using the Chi-Square test, perform a testing of hypothesis for the following data. Interpret your answer and state the implication of your findings.

1. A designer wants to release his summer collection of T-shirts. He selected a random sample of 162 customers from his target market to determine whether customers prefer any specific color, and tabulated the following results

Color No. of Respondents

Black 32

White 53

Red 26

Green 20

Yellow 16

Blue 15

2. The Director of Student Affairs of XYZ College claimed that the distribution of students is as follows: 35% business, 28% engineering, 15% education, 12% nursing and 10% computer science. Last semester, the program enrollment was collected and as follows. At = 0.05, is the claim of the Director of S.A. true?

Program Number of Students

Business 84

Engineering 68

Education 42

Nursing 27

Computer Science 15