The answer is E.

The argument presents a correlation between heavy television watching and mistrust of others, which we have to invalidate.

A. There are many people who are deeply mistrustful of others and watch little or no television.
This option doesn't directly weaken the argument. It suggests an alternative group of people who are mistrustful but don't watch much television. However, it doesn't address the correlation mentioned in the survey results.

B. Most people who have themselves been victims of a crime overestimate the crime rate and are mistrustful of others.
This option also doesn't weaken the argument. It introduces another group (crime victims) that may overestimate the crime rate and be mistrustful, but it doesn't challenge the link between television watching and mistrust.

C. Among people who say that they are not mistrustful of others, the great majority say that they believe that when an individual event is portrayed on television, it is portrayed accurately.
This option doesn't directly address the relationship between television watching, mistrust, and fear of crime. It introduces information about perceptions of accuracy but doesn't challenge the key link between television and mistrust.

D. Most people who watch television news on a regular basis say that they find crime stories more interesting than most other kinds of stories.
This option provides information about the interest in crime stories but doesn't directly weaken the argument about the correlation between television watching and mistrust.

E. People who are unusually suspicious and particularly afraid of crime tend to stay home watching television more than do people who are not.
This option weakens the argument by providing an alternative explanation for the correlation observed in the survey results. It suggests that people who are suspicious and afraid of crime may stay home watching television more, and not the other way around.