Comparative physiology reasoning:
Nearly all blood-feeding arthropods face the same problem: vertebrate blood clots within minutes unless clotting is actively blocked. Mosquitoes, including Aedes aegypti, feed slowly and intermittently, probing tissue before locating a vessel, a process that would be impossible if the ingested blood clotted rapidly in the gut. To keep the meal fluid long enough to complete engorgement and digestion, their saliva delivers apyrase and other anticoagulant compounds into the host and the ingested blood. This universal need to keep blood liquid, common across mosquitoes and other haematophagous insects, confirms that Aedes aegypti does secrete an anticoagulant, contradicting Statement (i) and supporting Statement (ii).
Therefore, Statement (i) is incorrect and Statement (ii) is correct.