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