Final answer:
A cryptographic hash is used to verify data integrity by comparing the hash value of received data with the expected value. For a 'man-in-the-middle attack' to succeed, the attacker must intercept and replace the public key exchanged between sender and receiver without being detected.
Step-by-step explanation:
One use for a cryptographic hash is to verify the integrity of data. For example, software developers often provide a hash value along with downloadable files. After downloading the file, a user can run a hash algorithm on it to produce a hash value. If this value matches the one provided by the developer, it assures the user that the file has not been tampered with and is exactly as the developer intended.
For a 'man-in-the-middle attack' to succeed in the context of public key cryptography, the attacker must intercept the public key sent from the supposed sender to the intended receiver. The attacker then substitutes it with their own public key without the receiver knowing. When the receiver encrypts a message using the attacker's public key, the attacker can decrypt it, read or modify it, then re-encrypt it with the intended recipient's actual public key and send it on, without either the sender or receiver being aware of the compromise.