The coach and I agree that attempting a field goal is the thing to do here, but you may be thinking it makes sense to go for it. That would be the right call if you think the Cardinals’ chances of converting on fourth down are at least 74 percent. But based on my analysis, I’d give the Cardinals only a 43 percent chance to get a first down here.
Here's the full breakdown of my calculations:
Option  Chance of converting 
Chance of winning
Before play

After play  Change  

Field goal try46 yard kick (est.)  75%  28%  40%  +12%  
Go for it4th and 5, opp. 29  43%  28%  23%  –5%  
Punt  28%  <1%  –28% 
Along with some circuitry to come up with a win probability for every game situation, all you need to figure out what you should do next is an estimate of how likely you are to make a field goal or convert a first down.
My estimates for these are based on the results of thousands of similar plays, but you may think you're smarter than I am. This chart shows you how changing those estimates would change my recommendation.
Based on about 995 fourth downs in similar situations since 2001.
47 yard field goal attempt by Chandler Catanzaro is NO GOOD. 47 yard field goal attempt by Chandler Catanzaro is NO GOOD.
To estimate a team’s chances of winning, I use a mathematical model that accounts for a whole lot of variables — including the difference in score, the time remaining in the game, and the number of timeouts each team has left. On top of that, I have models for the likelihood that a team makes a field goal and the likelihood that it will convert a first down.
By combining all of this information, I can come up with the best decision a team can make, according to math.
If you want even more details about the numbers behind my decisions, my full model is available on GitHub. Help make me better!