CONAKRY, Feb 25 (Reuters) - Guinean President Lansana Conte has agreed to choose a new prime minister from a list of names proposed by opponents, raising hopes for a settlement to a two-week general strike, a union leader said on Sunday. "The president agrees with the principle that the union representatives, political parties and civil society should propose five names from which he can pick a prime minister," union leader Amadou Diallo told Reuters.