What is the test for an appellate court to challenge a factual determination made by a trial court?

"When a trial court's factual determination is attacked on the ground that there is no substantial evidence to sustain it, the power of an appellate court begins and ends with the determination as to whether, on the entire record, there is substantial evidence, contradicted or uncontradicted, which will support the determination, and when two or more inferences can reasonably be deduced from the facts, a reviewing court is without power to substitute its deductions for those of the trial court. If such substantial evidence be found, it is of no consequence that the trial court believing other evidence, or drawing other reasonable inferences, might have reached a contrary conclusion. [Citations.]" (Bowers v. Bernards (1984) 150 Cal.App.3d 870, 873-874, 197 Cal.Rptr. 925, original italics.)