The one of the following diseases in which rats don't act as the intermediate hosts is?

Amoebic dysentery is caused by the protozoan parasite Entamoeba histolytica, which is primarily transmitted via the fecal-oral route through contaminated water or food. It does not involve rats or any other animal as part of its transmission cycle, making rats irrelevant in the context of this disease.

In contrast, endemic typhus is associated with flea infestations on rats, where the fleas act as the vector for the disease. Similarly, plague, caused by the bacterium Yersinia pestis, often utilizes rats as hosts, where infected fleas transmit the disease to humans. Weil's disease, a severe form of leptospirosis, can also involve animal hosts, particularly rodents, in its transmission.

Thus, the distinctive attribute of amoebic dysentery is its lack of a rodent host in its transmission, clearly setting it apart from the other diseases listed, which rely on rats or similar animals in their infection and spread.