Step 1: Understanding the Concept:
This question deals with classical genetics and non-allelic gene interactions.
Specifically, it tests duplicate recessive epistasis (also known as complementary gene action).
Step 3: Detailed Explanation:
Let us analyze the genetics of flower color in sweet pea (Lathyrus odoratus):
- Statement (1): In their historic experiments, Bateson and Punnett crossed two different true-breeding white-flowered varieties of sweet pea.
Surprisingly, all the \(F_1\) offspring produced purple flowers.
When these \(F_1\) purple hybrids were self-pollinated or intercrossed, the \(F_2\) generation segregated into 9 purple-flowered plants and 7 white-flowered plants.
Thus, Statement (1) is a historically and scientifically correct observation.
- Statement (2): To explain this \(9:7\) ratio, it was determined that purple pigment (anthocyanin) synthesis requires the functioning of two distinct genes, \(C\) and \(P\).
These genes assort independently.
A dominant allele from both loci (\(C\) and \(P\)) must be present together (\(C\_P\_\)) to complete the biochemical pathway that produces the purple pigment.
If either gene is homozygous recessive (\(cc\) or \(pp\)), or both are recessive (\(ccpp\)), the pathway is blocked.
Therefore, the recessive alleles (\(c\) and \(p\)) act to abolish pigment production.
Thus, Statement (2) is correct.
Let us verify the \(F_2\) phenotypic breakdown:
- \(9/16\) are \(C\_P\_\) (Purple)
- \(3/16\) are \(C\_pp\) (White)
- \(3/16\) are \(ccP\_\) (White)
- \(1/16\) are \(ccpp\) (White)
This results in the exact \(9:7\) complementary ratio.
Step 4: Final Answer:
Both statements are correct.
Therefore, the correct choice is Option (A).