Final answer:
The statement is true as eukaryotic chromosomal DNA is indeed associated with both histone and nonhistone proteins, with histones forming nucleosomes and nonhistone proteins helping in further compaction.
Step-by-step explanation:
The statement that eukaryotic chromosomal DNA is associated with both histone and nonhistone proteins is A) True. In eukaryotic cells, DNA is organized into a complex structure known as chromatin. This chromatin is composed of DNA wrapped around histone proteins to form nucleosomes, a structure sometimes described as "beads on a string". These nucleosomes include DNA tightly wound around an octamer of histone proteins and are linked by linker DNA. Beyond this, nonhistone proteins also play a role in further compacting the DNA into a more dense form called heterochromatin and therefore also associate with the DNA in those regions.