A new variety of fast plant was identified that expressed purple leaves and red hairs. A true-breeding strain of this plant was crossed with a true-breeding green leaf and hairless strain, and all of the progeny were green-leafed and hairless. One of these F1 strains was backcrossed with the hairy purple parental (you might need to make a Punnett square to figure out your expected ratio), and the following progeny of the cross were observed: 402 green/hairless, 396 purple/hairy, 116 green/hairy, and 125 purple/hairless.
a. How many genes are involved in these two characters?
b. State the nature of the alleles (dominant/recessive) and if they assort independently or not (using the chi-square statistic to support your answer - show your work!) Hint: you'll probably need to set up a Punnett square at some point.