Game wont kick premium users?

I was making a game where premium users were not allowed. I created a script that would kick premium users if they tried to join. Because i'm a premium user myself, I decided to test this. I played in studio and Roblox Player but the script didn't work. No errors in script analysis either. Also, i'm not that good at scripting. Here is the script:

--premium test
game.Players.PlayerAdded:Connect(function(player)
    if player.MembershipType == "Premium" then
        player:Kick("No Premium users allowed.")
    end
end)