Business activity across the euro zone fell sharply last month as the bloc’s dominant services sector joined the manufacturing sector in contracting, according to a survey which showed a broadbased decline. HCOB’s final composite Purchasing Managers’ Index for the currency union, compiled by S&P Global and seen as a good gauge of overall economic health, sank to 48.3 in November from October’s 50.0. A PMI covering the services industry fell last month to 49.5 from 51.6, its first sub-50 reading since January.