I'm having trouble getting the computer to try to guess my number (Python 3)

I'm not sure what I'm doing wrong because it seems I have all of the necessary components. Any advice would be greatly appreciated. Here's my code so far. Thank you!

# Reverse number-guessing game
# The player picks a random number between 1 and 100
# and the computer has to guess.

print("\t\t\tWelcome to the reverse 'guess my number' game!")
print("\nThe game where you pick a number between 1 and 100.")
print("\nThe computer must guess the number correctly.")

import random

low_number = 0
high_number  = 100
response = ""

computer_guess = random.randint(low_number, high_number)

while response != "correct";
    print("Is it ", computer_guess, "?")
    response = input()

    if response == "higher";
        low_number = computer_guess + 1
        computer_guess = random.randint(low_number, high_number)
    elif response == "lower":
        high_number = computer_guess - 1
        computer_guess = random.randint(low_number, high_number)
    elif response == "correct":
        print("Yes!! Computers rock!")
        break

input("\n\nPress the enter key to exit.")