Is a person punished for allowing someone who is neglectful of prayer and preoccupied with worldly matters to reside in his home, and what should he do about it?

Your friend's delaying prayers due to amusement on your device is a great sin, and you must prevent him from the causes of amusement during prayer times, because enabling him to do so is assisting in wrongdoing. Enjoining good and forbidding evil must be done with the hand and tongue, but with gentleness and wisdom. Shyness or the desire for his companionship should not prevent you from enjoining good and forbidding evil. If he insists on delaying prayer, do not allow him to accompany you or enter your home.