The real problem is that Everton are in a lot of trouble at the moment and I think they will be underdogs to win. In the first four matches they have no wins and three consecutive defeats, I think it's not the right spirit to beat the vice-champion of last season, Arsenal are too strong for them and it doesn't matter what the stats were there
when it comes to football, i think no club is either too big or too small, this is so because football sometime is a game of chances for both team and if the opportunity present itself, even the smallest of club could defeat a bigger club, this is how unpredictable football games can be and in most cases, clubs that are understated like Evarton will perform excellently well and even go on to defeat a bigger club like Manchester united in the game.
So ultimately the outcome of games is not dependent on the clubs in most cases, but on how the players on the pitch use the various chances during the match.