To answer the question as succinctly as possible only takes one word and that word is yes. Elderly Americans are typically at a much greater risk of experiencing slip and falls, and their risk of injury in such accidents is also greater. In many cases, senior citizens are just as vulnerable to injury as small children are if a slip and fall occurs.
Let's look at a common scenario. You are attending a dinner party at your neighbor's home. When it is time to leave, you go out the door, step on a patch of ice and end up with a knot on your head. The neighbor apologizes profusely while you pick yourself up and attempt to collect your dignity. You say that everything is all right and make your way home nursing a headache. After all, slips and falls are nothing to make a big deal out of, right?