Depends on whether the person is talking to themselves, or someone else.
If they are talking to themselves, it is indeed intrinsic motivation, as they are convincing themselves they are also happy and motivated to join the science club as it makes their parents happy.
If they are talking to someone else, it would not be intrinsic motivation. This is because they are merely telling someone that they're doing something to make their parents happy.
As it is a statement, on the whole I would say, no. It is not intrinsic motivation.
A control is a experimental variable that is kept constant or unchanged during an experiment. During a controlled experiment, the controlled variables are held constant to minimize or stabilize their effects on the subject, its unchanging state allows the relationship between the other variables being tested to be better understood.