Python: Write a program that counts positive and negative numbers and computers the average of numbers

I saw a similar post, but it included functions, which mine does not.

Objective: Write a program that reads an unspecific number of integers, determines how many positive and negative values have read, and computes the total and average of the input values (not counting 0's) while the program will halt at 0.

ISSUE I AM HAVING: When using the following test values 1, 2, -1, 3

I get the following:

The number of positives: 1
The number of negatives: 2
The total amount of numbers used: 3
The average is 1.33 which is 4 / 3

It should be: The number of positives: 1
The number of negatives: 3
The total amount of numbers used: 4
The average is 1.25 which is 5 / 4

My Attempt below:

positive_number = 0                    
negative_number = 0                      
average = 0                        
count = 0                          
new_number = 0                     


user_input = eval(input("Enter enter as many integers as you want, 0     will halt: "))
if user_input == 0:
    print("You didn't enter any number, code ended")
else:
  while user_input != 0:
    user_input = eval(input("Enter enter as many intergers as you want, 0 will halt: "))

    if user_input == 0:
        print("You didn't enter any number, code ended")

    elif user_input != 0 and user_input > 0:
        new_number += user_input
        positive_number += 1
        count += 1

    else:
        user_input != 0 and user_input < 0
        new_number += user_input
        negative_number += 1
        count += 1


    average = (new_number / count)
    print("\nThe number of positives:",  positive_number)
    print("The number of negatives:", negative_number)
    print("The total amount of numbers used:", count)
    print("The average is", format(average,".2f"), "which is", str(new_number), "/", str(count))

What is causing such error? I can only assume that this is a minor fix?