wpf data template is not working with contentcontrol in mvvm dialog

Question

Just want to make mvvm dialog using answer from this question Using MVVM show new window and get updates data. I also use example from MVVM survival guide book. I have this ViewModel class for dialog:

public class OrganizationsViewModel
{

    public OrganizationsViewModel()
    {
        TestProp = "TEST prop";
    }
    public override string ToString()
    {
        return "Organization";
    }

    public string TestProp { get; set; }
}

ShowDialog method in DialogService

public void ShowDialog(OrganizationsViewModel viewModel)
{
    var dialog = new DialogView() { DataContext = viewModel };
    dialog.Owner = Application.Current.MainWindow;
    dialog.ShowInTaskbar = false;
    dialog.ShowDialog();
}

DialogView.xaml:

<Window x:Class="testlayout.DialogView"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        Title="DialogView" Height="300" Width="300">
    <StackPanel>
        <ContentControl Content="{Binding}" />      
    </StackPanel>
</Window>

DataTemplate in Application.xaml

<Application.Resources>        
    <DataTemplate x:Key="OrganizationsTemplate" DataType="{x:Type vm:OrganizationsViewModel}">
        <vw:OrganizationsView/>
    </DataTemplate>   
</Application.Resources>

I call ShowDialog from MainWindowViewModel

  DialogService.Instance.ShowDialog(new OrganizationsViewModel());

And I can see only Organization string in dialog, but don't see OrganizationsView. Don't understand what is wrong.