EJB - Problema

Classe para testar se o método funciona

package br.com.webservice.teste;

import java.sql.SQLException;
import java.util.List;

import javax.ejb.Stateless;
import javax.enterprise.inject.Model;
import javax.inject.Inject;

import org.junit.Ignore;
import org.junit.Test;
import org.junit.runner.RunWith;

import br.com.webservice.dao.TesteDAO;
import br.com.webservice.model.Tasklist;
import br.com.webservice.service.TaskDAO;

public class Teste {
    @Inject
    private TaskDAO dao;

    private TesteDAO dao1 = new TesteDAO();

    Tasklist task1 = new Tasklist();


    @Test
    @Ignore
    public void salvar() throws SQLException {

        task1.setDescricao("Oi");
        task1.setCriacao("00");
        dao1.salvar(task1);
    }

    @Test
    public void listar(){
        List<Tasklist> lista = dao.listarTodos();
        for(Tasklist task : lista){
            System.out.println(task);
        }
    }
}

Classe DAO para fazer a persistência dos dados.

package br.com.webservice.service;

import java.util.List;

import javax.ejb.Stateless;
import javax.persistence.EntityManager;
import javax.persistence.PersistenceContext;

import br.com.webservice.model.Tasklist;

@Stateless
public class TaskDAO {

    @PersistenceContext
    private EntityManager entity;

    public void salvar(Tasklist task) {
        entity.merge(task);
    }

    public void deletar(Tasklist task) {
        entity.remove(task);
    }

    public List<Tasklist> listarTodos() {
        return entity.createQuery("select t from Tasklist t", Tasklist.class)
                .getResultList();
    }
}






ERRO:

java.lang.NullPointerException
    at br.com.webservice.teste.Teste.listar(Teste.java:38)
    at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
    at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:57)
    at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
    at java.lang.reflect.Method.invoke(Method.java:601)
    at org.junit.runners.model.FrameworkMethod$1.runReflectiveCall(FrameworkMethod.java:50)
    at org.junit.internal.runners.model.ReflectiveCallable.run(ReflectiveCallable.java:12)
    at org.junit.runners.model.FrameworkMethod.invokeExplosively(FrameworkMethod.java:47)
    at org.junit.internal.runners.statements.InvokeMethod.evaluate(InvokeMethod.java:17)
    at org.junit.runners.ParentRunner.runLeaf(ParentRunner.java:325)
    at org.junit.runners.BlockJUnit4ClassRunner.runChild(BlockJUnit4ClassRunner.java:78)
    at org.junit.runners.BlockJUnit4ClassRunner.runChild(BlockJUnit4ClassRunner.java:57)
    at org.junit.runners.ParentRunner$3.run(ParentRunner.java:290)
    at org.junit.runners.ParentRunner$1.schedule(ParentRunner.java:71)
    at org.junit.runners.ParentRunner.runChildren(ParentRunner.java:288)
    at org.junit.runners.ParentRunner.access$000(ParentRunner.java:58)
    at org.junit.runners.ParentRunner$2.evaluate(ParentRunner.java:268)
    at org.junit.runners.ParentRunner.run(ParentRunner.java:363)
    at org.eclipse.jdt.internal.junit4.runner.JUnit4TestReference.run(JUnit4TestReference.java:50)
    at org.eclipse.jdt.internal.junit.runner.TestExecution.run(TestExecution.java:38)
    at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.runTests(RemoteTestRunner.java:467)
    at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.runTests(RemoteTestRunner.java:683)
    at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.run(RemoteTestRunner.java:390)
    at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.main(RemoteTestRunner.java:197)