Statistics Need the attached assignments put in the certain APA format.

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assignment_2_answer.docx

H0: no color preference H1: color preference

observed frequencies,f0: 14 18 28

expected frequencies,fe: fe = 60 / 3 = 20

f0

fe

(f0-fe)^2

(f0-fe)^2 / fe

14

20

36

1.8

18

20

4

0.2

28

20

64

3.2

sum =

5.2

chi-square test statistic , X^2 = 5.2

n = 3 degree of freedom = n-1 = 2

P_value = 0.0743 Since P_value > 0.05, hence H0 can not be rejected So, we do not have sufficient evidence to conclude that there is color preference.

From above sample result we can say that ;

14 / 60 = 23.3% of sample likes Red

18/60 = 30% of sample likes Green

28/60 = 46.7 % of sample likes Blue

hence Blue color to be used as it is more probable to be liked by participants.