Answer
The statement is false.
A corrected statement would be:
60 percent of those who were surveyed liked both dogs and cats.
Work Step by Step
The diagram shoes that 60 percent of Americans like both cats AND dogs (as 60 percent is in the intersection of the regions "Like Cats" and "Like Dogs".
Thus, the given statement is false as it used OR (union) instead of AND.
A corrected statement would be:
"60 percent of those who were surveyed liked both dogs and cats."
