Final answer:
The incorrect statement is that the deceased's parents are eligible for survivor benefits, as typically only the surviving spouse and dependent children are eligible, not the parents unless they were dependents of the deceased.
Step-by-step explanation:
The question is about the Social Security benefits that are available to the family of a deceased worker who was covered under the program. Among the options provided, the incorrect statement is that the deceased's parents are eligible for survivor benefits. Under the rules of the Social Security program, specifically the Old Age, Survivors and Disability Insurance (OASDI) system, spouse and dependent children can receive benefits, with the surviving spouse typically eligible for benefits starting at age 65, or earlier if caring for a child under 16. Children under 18 are eligible for dependent benefits. However, in general, the deceased's parents are not eligible for survivor benefits unless they were being supported by the deceased prior to his/her death.