Final answer:
The statement is true; electrons tend to spend more time around the nucleus of the atom with higher electronegativity, forming polar covalent bonds.
Step-by-step explanation:
The statement that when covalent bonds are formed between atoms having different electronegativities, the electrons tend to spend more time at the atom with the greater electronegativity is true. Atoms with higher electronegativity exert a larger force of attraction on the shared electrons, causing these electrons to spend more time in the vicinity of the more electronegative atom. This unequal sharing of electrons leads to the formation of polar covalent bonds.
For example, in water (H₂O), the bonding between hydrogen and oxygen is polar because oxygen has a higher electronegativity than hydrogen, resulting in the electrons being shared unequally.