Components tests

component_spec.js

var view;
module('Computed properties', {
  setup: function() {
    view = Ember.View.create({
      template: Ember.Handlebars.compile(
        '{{my-component name="hector"}}'
      )
    });
  },

  teardown: function() {
    App.reset();
  }
});

test('', function(assert) {
  assert.equal(view.$().contains('Hector'), true);
});

You need to add the view to the DOM in order to evaluate view.$() and $().contains doesn't exist:

var view;
module('Computed properties', {
  setup: function() {
    view = Ember.View.create({
      template: Ember.Handlebars.compile(
        '{{my-component name="hector"}}'
      )
    });

    Em.run(function() {
      view.appendTo('body');
    });
  },

  teardown: function() {
    App.reset();
  }
});

test('', function(assert) {
  assert.equal(!!view.$(':contains(Hector)').length, true);
});