Consider the following information showing the preference among boys and girls for orange juice and apple...
Consider the following information showing the preference among boys and girls for orange juice and apple juice.
Boys and Apple Juice 10
Boys and Orange Juice 20
Girls and Apple Juice 22
Girls and Orange Juice 18
If the computed Chi Square statistic is 3.24, obtain the p-value.
Homework Answers
Ans:
| Observed(fo) | |||
| Apple | orange | Total | |
| Boys | 10 | 20 | 30 |
| Girls | 22 | 18 | 40 |
| Total | 32 | 38 | 70 |
| Expected(fe) | |||
| Apple | orange | Total | |
| Boys | 13.71 | 16.29 | 30 |
| Girls | 18.29 | 21.71 | 40 |
| Total | 32 | 38 | 70 |
| Chi square=(fo-fe)^2/fe | |||
| Apple | orange | Total | |
| Boys | 1.01 | 0.85 | 1.85 |
| Girls | 0.75 | 0.64 | 1.39 |
| Total | 1.76 | 1.48 | 3.24 |
Test statistic:
Chi square=3.24
df=(2-1)*(2-1)=1
p-value=CHIDIST(3.24,1)=0.0719
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