Final answer:
The statement that the biggest competitive advantage in a region's internet segment is to offer free shipping is false because there are various other significant factors that contribute to a company's success, not just free shipping. Hence, the correct answer is option (D).
Step-by-step explanation:
The false statement regarding the impact of a company's competitive efforts in a region on its regional market share and number of branded pairs sold is D) The biggest possible competitive advantage a company can achieve in a given region's internet Segment is to offer free shipping and thereby capture the biggest number of pairs sold and the biggest market share of any company in that region's Internet Segment.
While offering free shipping can be a significant competitive advantage in the internet segment, it is not the sole factor that can determine the largest market share or number of sales. Other factors such as brand reputation, product quality, customer service, and marketing efforts can also play critical roles in influencing consumer behavior and therefore affect market share and sales volume.