angular directive variable not available in parent scope

I am currently stuck on hopefully a simple problem:

I have a controller.js

app.controller('WizardCtrl', function ($scope) {
  $scope.send = function() {
    console.log($scope.isPasswordChanged)
  }
});

My view.html

isPasswordChanged: {{ isPasswordChanged }} <br>
<update-password-field is-changed="isPasswordChanged"></update-password-field>
<button ng-click="send()"></button>

My directive.js

app.directive('updatePasswordField', function () {
  return {
    restrict: 'E',
    scope: {
      isChanged: "="
    },
    templateUrl: "password-field-directive.html",
    link: function (scope) {
        // some magic to set isChanged value to true of false 
    }
  }
});

So in my view.html I can see the changes of "isPasswordChanged", to it is somehow in my $scope, but if I console.log($scope) the "isPasswordChanged" is not present.

Why and how to make it present?