Final answer:
The statement is false; with a cross-price elasticity of 1.2, a 5% increase in the price of apples would result in a 6% increase in the quantity demanded of oranges.
Step-by-step explanation:
The statement given in the question is false. The cross-price elasticity of demand measures the responsiveness of the quantity demanded for one good when the price of another good changes. If the cross-price elasticity for oranges with respect to apples is 1.2, this indicates that oranges and apples are substitute goods, and an increase in the price of apples by 5% should lead to an increase in the quantity demanded for oranges by 6% (1.2 multiplied by 5%). Therefore, the quantity demanded of oranges is expected to increase, not decrease.