Read the following statements.
Statement $I$: In a typical test cross, an organism showing a dominant phenotype is crossed with the recessive parent.
Statement $II$: The ratio of organisms showing dominant and recessive traits in $F_1$ generation of a test cross indicates that the organism with unknown genotype is homozygous dominant.
Choose the correct option.

• A
  Both Statement $I$ and Statement $II$ are true
• B
  Both Statement $I$ and Statement $II$ are false
• C
  Statement $I$ is true but Statement $II$ is false
• D
  Statement $I$ is false but Statement $II$ is true