Of 158 consumers polled, some like only action movies, some prefer just horror movies, and some like both. If 43 people like only action, and 62 like both, how many people prefer only horror movies?
Let's assume the number of people who like only horror movies is represented by x.
Out of 158 people polled, 43 people liked only action movies, 62 liked both action and horror movies, and x liked only horror movies.
The total number of people who like either one or both genres is 43 + x + 62 = 105 + x.
Therefore, the number of people who prefer only horror movies is 105 + x - 62 = 43 + x.
43 = 105 - 62 + x.
43 = 43 + x.
x = 0.
Therefore, there are 0 people who prefer only horror movies. Answer: \boxed{0}.