Is organic food more nutritious?

I was buying salad greens a few days ago when I overheard a woman say to her partner: "Honey, grab an organic red pepper instead. It has more vitamins." Despite being in the middle of researching this very topic, and confident that I was going to get a message to mind my own business, I refrained from launching into a debate. The truth is, the belief that organic produce is nutritionally superior to conventionally farmed is only mildly supported by scientific evidence.