Final answer:
In a cross between a purple-flowered plant and a white-flowered plant, all of the offspring plants had purple flowers. This indicates that the parent purple-flowered plant must be homozygous dominant (PP) and the white-flowered plant must be homozygous recessive (pp).
Step-by-step explanation:
In pea plants, the allele for purple flowers (P) is dominant to the allele for white flowers (p). In the given cross between a purple-flowered plant and a white-flowered plant, all of the 73 offspring plants had purple flowers. This indicates that the parent purple-flowered plant must be homozygous dominant (PP) and the white-flowered plant must be homozygous recessive (pp). When these two parents are crossed, all of the offspring will inherit the dominant purple allele and display purple flowers.