Rather, do what should have been done with vaccines. After all, vaccines aren't natural. What is it? this...

Get about a million babies together, from all walks of life. Split them into two equal-sized groups. One group give no carrots. The other group, make sure they have at least a few carrots every week. Track them until they die naturally of old age. Check the age statistics.

Then eat carrots or not, based on who lived longer. Do the same with every new vaccine that comes out before giving it to the public... so at least the people know.