Final answer:
The statement is true; the colonial response to the Townshend Acts was indeed to boycott British goods, as part of their protest against taxation without representation.
Step-by-step explanation:
The statement that the colonial response to the Townshend Acts, which created a new board of customs, was to boycott is true. The Townshend Acts were intended to assert British control over the colonies and included various taxes on goods such as glass, lead, paint, paper, and tea, as well as enforcement measures like the establishment of the Board of Customs Commissioners in Boston.
The colonial reaction included a movement to boycott British goods, as a way to protest and push back against what they saw as taxation without representation and an overreach of British authority. This action was one among many that gradually escalated tensions leading to the American Revolutionary War.