Final answer:
The assertion that a positive correlation indicates health benefits is false. Positive correlation reveals a direct relationship between two variables but doesn't necessarily imply benefits.
Step-by-step explanation:
The statement that a positive correlation means there are health benefits to the variable under investigation is false. A positive correlation simply indicates that as one variable increases, the other also increases or vice versa. However, this does not inherently mean that there are health benefits involved. For example, there could be a positive correlation between eating a large quantity of a certain food and weight gain, but this does not necessarily imply health benefits, and could, in fact, indicate a health risk.