(I was working on this reply while other people came in and said it quicker than I could. Good advice that you should go with. I’ll just share the part that is different than what has already been expressed.)
I personally like to think of the Emergency Fund in terms of how vulnerable you are to a crisis. If you’re a young, healthy couple with no children, no pets, can walk to work/school, and you have a pantry full of food and a closet full of clothes, then you’re simply less vulnerable and could probably keep barely anything in an emergency fund.
But if you were someone who had a variable income, multiple children, a few pets, an unreliable car, and a tendency to self-medicate your emotions with shopping, then the odds that something could go wrong with one of these goes up and you’d probably want a very large Emergency Fund.
Some of these are factors are within your ability to control, some aren’t. Evaluate your level of risk and do what’s right for you. Then take steps to make yourself more and more crisis-proof, like reducing regular expenses, getting the right amount of insurance, building your skills, keeping yourself physically and mentally healthy, etc.