Correct Answer: Speak : Shout

Solution : Given:
Touch : Push (Touch is to put hands upon something whereas Push is to exert force on something or somebody. Touch refers to the same action, but the push is with extra force.)

Let's check each option:
First option: Speak : Shout; Speak is to say something to convey information, whereas shout is to utter a loud cry expressing strong emotion.
Second option: Refuse : Accept; They both are different actions.
Third option: Run : Walk; They both are different actions.
Fourth option: Eat : Drink; They both are different actions.

So, only the first option follows the same pattern as followed by the given pair. Hence, the first option is correct.