NEW YORK — The Statue of Liberty will close for a year at the end of October as it undergoes a $27.25 million renovation that will make the interior safer and more accessible, U.S. Secretary of the Interior Ken Salazar announced Wednesday. The renovations, however, are limited to the monument, and Liberty Island will remain open and the statue itself will be mostly unobstructed from view, officials said in a statement. The National Parks Service, which manages the Statue of Liberty National Monument and Ellis Island, said it will close the monument on Oct.