What is the legal test for a claim of insufficiency of evidence in a criminal case?

Defendant challenges the sufficiency of the evidence to support his convictions under subdivisions (a) and (b) of section 646.9. "The proper test for determining a claim of insufficiency of evidence in a criminal case is whether, on the entire record, a rational trier of fact could find the defendant guilty beyond a reasonable doubt. [Citations.] On appeal, we must view the evidence in the light most favorable to the People and must presume in support of the judgment the existence of every fact the trier could reasonably deduce from the evidence. [Citation.] [] Although we must ensure the evidence is reasonable, credible, and of solid value, nonetheless it is the exclusive province of the trial judge or jury to determine the credibility of a witness and the truth or falsity of the facts on which that determination depends. [Citation.] Thus, if the verdict is supported by substantial evidence, we must accord due deference to the trier of fact and not substitute our evaluation of a witness's credibility for that of the fact finder." (People v. Jones (1990) 51 Cal.3d 294, 314.)