Check item into List box by Radio Button

I'm trying to check an item into a ListBox after clicking a Radio Button, but no success. Specifically, I'm trying to check a Active Directory Group already listed.

I made this piece of script:

$Action = foreach ($SecurityGroup in $ADSecurityGroup)
                      {
                        $SecurityGroup.Name -eq "AD Example"
                        {
                           [void] $ADGroups.Items.Add($SecurityGroup.Name, $True)
                        }
                      }

And after added to Add_Click of Raddio Button:

$RadioButton.Add_Click($Action)

Someone could help me?

I achieved what I was looking for with this:

$RadioButton.Add_Click({
                            for ($i = 0; $i -lt $ADGroups.Items.Count; $i++)
                                {
                                    If ($ADGroups.Items[$i] -match 'AD Group that I wanted to change status')
                                        {
                                           $ADGroups.SetItemChecked($i, $true)
                                        }
                                 }
                          })

I publish it in case it is useful to someone.

Thanks a lot!