Final answer:
The statement in question is false; allotetraploids tend to be more fertile than allodiploids as they have more complete and balanced sets of chromosomes which facilitate normal meiosis and gamete formation.
Step-by-step explanation:
The statement "Allodiploids are more likely to be fertile than allotetraploids" is false. Allodiploids result from the hybridization of two different species, having one chromosome set from each parent species, whereas allotetraploids have two complete chromosome sets from each species, making them more likely to be fertile. This is because allopolyploids, such as allotetraploids, can have balanced meiosis, which allows for normal gamete formation and consequently higher chances of fertility. Polyploidy is more successful and common in plants, resulting in many cultivated and naturally occurring species such as wheat, cotton, and tobacco that are allopolyploids. Plants can tolerate polyploidy and chromosomal restructuring far better than animals, for whom such conditions frequently lead to developmental problems or sterility.