Question

2. Consider the following contingency table showing the preference among boys and girls for orange juice and apple juice. Orange Juice Apple Juice Row Totals Boys 20 10 30 Girls 18 22 40 Column Totals 38 32 70 Use an appropriate test to check if juice preference is independent of gender (level of significance = 0.05).

Answer 1

NULL HYPOTHESIS H0: GENDER AND JUICES ARE INDEPENDENT .

ALTERNATIVE HYPOTHESIS Ha: GENDER AND JUICES ARE DEPENDENT.

LEVEL OF SIGNIFICANCE =0.05

.

Chi square statistic = 3.235

Degrees of freedom= (2-1)*(2-1)=1

P value= 0.0721

Since P value GREATER THAN 0.05 THEREFORE DO NOT SIGNIFICANT

DECISION: DO NOT REJECT NULL HYPOTHESIS H0.

CONCLUSION: We do not have sufficient evidence to conclude that Gender and type of juice is dependent.