I think if we compare the set of all accused murderers that lie during their trials to those that tell the truth, the whole truth, and nothing but the truth, a higher percentage of liars will be guilty.

It's improper reasoning, however, to use that as the reason for convicting someone of murder.

I think there is a significant chance she was in the house at the time of the murder or otherwise knew something that she didn't tell the police, and that major lie could have really confused the prosecutor, who was also the interrogater when she implicated Patrick Lumumba.