Final answer:
The analysis that indicated the lacO region functions in cis as an operator sequence within the lac operon is that a d. nonfunctional lacO mutant cannot be rescued by a wild-type lacO allele.
Step-by-step explanation:
When lac operon merodiploids were studied, the analysis that suggested the lacO region acts in cis to regulate the lac operon was: d. a nonfunctional lacO mutant cannot be rescued by a wild-type lacO allele.
This is because, unlike the lacI gene that produces a diffusible repressor protein which can act in trans, the lacO region is a DNA sequence that functions as an operator and acts in cis.
Thus, if the lacO region on the operon is nonfunctional, even the presence of a wild-type lacO on another DNA molecule would not restore normal regulation, since the operator sequence must be directly in line with the genes it regulates.
In contrast, a nonfunctional lacI gene can be complemented by a wild-type lacI allele present on another DNA molecule within the same cell because the repressor it produces can diffuse within the cell and act on both operons.