Step 1: Understanding the Concept
Parturition is started by signals from the fully grown foetus and the placenta that cause mild uterine contractions.
Step 2: Hormones involved
The foetal pituitary releases ACTH, which makes the foetal adrenal cortex secrete corticosteroids. These raise the oestrogen to progesterone ratio. Oxytocin from the mother then causes strong contractions.
Step 3: hCG
hCG is secreted mainly in early pregnancy to maintain the corpus luteum, and its level does not increase at the time of birth.
Final Answer:
An increase in hCG level does not induce parturition.
\[ \boxed{\text{(C) }\text{The increase in the level of hCG.}} \]