Thanks Manuel.  I downloaded the latest version of the SDK and actually found the answer in the included demo app.  For the ZQ520, I needed to get the status using ZebraPrinterLinkOs.

Full code:

ZebraPrinterLinkOs linkOsPrinter = ZebraPrinterFactory.createLinkOsPrinter(printer);

PrinterStatus printerStatus = (linkOsPrinter != null) ? linkOsPrinter.getCurrentStatus() : printer.getCurrentStatus();

Hi Stephen,

Please, follow the example below. It should work fine to check the status of the printer before to send a print job.
Also, you can go to the link below to get more information about Zebra's API.
Zebra API for Android (build v2.9.2275)

package test.zebra.sdk.printer.examples;

import com.zebra.sdk.comm.Connection;
import com.zebra.sdk.comm.ConnectionException;
import com.zebra.sdk.comm.BluetoothConnection;
import com.zebra.sdk.printer.PrinterStatus;
import com.zebra.sdk.printer.ZebraPrinter;
import com.zebra.sdk.printer.ZebraPrinterFactory;
import com.zebra.sdk.printer.ZebraPrinterLanguageUnknownException;

public class PrinterStatusExample {

     public static void main(String[] args) throws Exception {
    Connection connection = new BluetoothConnection(theBTMacAddress);
         try {
             connection.open();
             ZebraPrinter printer = ZebraPrinterFactory.getInstance(connection);

             PrinterStatus printerStatus = printer.getCurrentStatus();
             if (printerStatus.isReadyToPrint) {
                 System.out.println("Ready To Print");
             } else if (printerStatus.isPaused) {
                 System.out.println("Cannot Print because the printer is paused.");
             } else if (printerStatus.isHeadOpen) {
                 System.out.println("Cannot Print because the printer head is open.");
             } else if (printerStatus.isPaperOut) {
                 System.out.println("Cannot Print because the paper is out.");
             } else {
                 System.out.println("Cannot Print.");
             }
         } catch (ConnectionException e) {
             e.printStackTrace();
         } catch (ZebraPrinterLanguageUnknownException e) {
             e.printStackTrace();
         } finally {
             connection.close();
         }
     }
}