open failed: EACCES (Permission denied)

<manifest xmlns:android="http://schemas.android.com/apk/res/android"
    package="vers1.test"
    android:versionCode="1"
    android:versionName="1.0" >
   <uses-sdk android:minSdkVersion="15" />
    
     <uses-permission  android:name="android.permisssion.WRITE_EXTERNAL_STORAGE"/>
     <uses-permission android:name="android.permission.INTERNET" />


    <application

public void writeFileInSystem(String filePath) throws IOException{
    	
    	  File bitmapFile = new File(EXTERNAL_STORAGE + filePath);
    	  System.out.println("datei gespeichert unter :"+ EXTERNAL_STORAGE + filePath);
    	  File parentFile = new File(bitmapFile.getParent());
    	  
    	  parentFile.mkdirs();
    	  bitmapFile.createNewFile();
    	  FileOutputStream outPut = new FileOutputStream(bitmapFile);
    	  outPut.flush();
    	  outPut.close();
    }

try {
    	    File root = Environment.getExternalStorageDirectory();
    	    pdfReaderActivity.ausgabe.setText(root.getAbsolutePath());
    	    if (root.canWrite()){
    	        File gpxfile = new File(root, "gpxfile.gpx");
    	        FileWriter gpxwriter = new FileWriter(gpxfile);
    	        BufferedWriter out = new BufferedWriter(gpxwriter);
    	        out.write("Hello world");
    	        out.close();
    	    } pdfReaderActivity.ausgabe.setText("kann nicht schreiben");
    	} catch (IOException e) {
    	    Log.e("....", "Could not write file " + e.getMessage());
    	    pdfReaderActivity.ausgabe.setText("error");
    	    
    	}

private boolean checkForDirectory()
    {
       boolean cardstate = true;


        String state = Environment.getExternalStorageState();


           if (Environment.MEDIA_BAD_REMOVAL.equals(state)) {
               cardstate = false;
               runDialog("Memory Card was removed before it was unmounted");
           }
           else if (Environment.MEDIA_CHECKING.equals(state)) {
               runDialog("Memory Card is present and being disk-checked");
           }
           else if (Environment.MEDIA_MOUNTED.equals(state)) {
                cardstate = true;
               //runDialog("Memory Card is present and mounted with read/write access");
           }
           else if (Environment.MEDIA_MOUNTED_READ_ONLY.equals(state)) {
               runDialog("Memory Card is present and mounted with readonly access");
           }
           else if (Environment.MEDIA_NOFS.equals(state)) {
               cardstate = false;
               runDialog("Memory Card is present but is blank or using unsupported file system");
           }
           else if (Environment.MEDIA_REMOVED.equals(state)) {
               cardstate = false;
               runDialog("Memory Card is not present");
           }
           else if (Environment.MEDIA_SHARED.equals(state)) {
               cardstate = false;
               runDialog("Memory Card is present but shared via USB mass storage");
           }
           else if (Environment.MEDIA_UNMOUNTABLE.equals(state)) {
               cardstate = false;
               runDialog("Memory Card is present but cannot be mounted");
           }
           else if (Environment.MEDIA_UNMOUNTED.equals(state)) {
               cardstate = false;
               runDialog("Memory Card is present but not mounted");
           }


           File dir = new File(Environment.getExternalStorageDirectory() + "/gwc");
           if(dir.exists() && dir.isDirectory()) 
           {
              System.out.println("Folder exists");
           }
           else
           {               
           String extStorageDirectory = Environment.getExternalStorageDirectory().toString();
               File myNewFolder = new File(extStorageDirectory + "/gwc");
               boolean created =myNewFolder.mkdir();
               System.out.println("Folder gwc created ");
               System.out.println(created);
           }
           return cardstate;
    }