From Modal window on close checked a checkbox in a page

From Modal window on close checked a checkbox in a page

Hi all, I'm new here...
I've a problem with a modal window...

From my page on a tag open a modal #DatiPersonali.
In this when I click "<button type="button" class="btn btn-primary btn-lg" data-dismiss="modal">Autorizzo il trattamento</button>" I need window close (and ok close it) but checkbox on my page must be checked ( <input type="checkbox" aria-required="true" required value="1" name="AutorizzoTrattamento" /> )

Thanks ALEN, Italy
--------- HTML ---------
<div id="mc_embed_signup">
    <form id="Mailnutrition" class="form form-inline form-contact" method="post">
        <div class="mc-field-group">
            <input type="email" aria-required="true" required value="" placeholder="Inserisci il tuo indirizzo e-mail" name="EMAIL"><button class="btn btn-primary bold" type="submit" tabindex="5" id="submit">INVIA</button>
                <div style="height:5px;"></div>
            <label class="checkbox" style="color:#BBB; font-weight:normal; margin-left:0px;">
                <input type="checkbox" aria-required="true" required value="1" name="AutorizzoTrattamento" /> Autorizzo  il trattamento dei <a href="privacy" data-toggle="modal" data-target="#DatiPersonali">dati personali</a>
            </label>
        </div>
    </form>
</div>


<div class="modal fade" id="DatiPersonali" tabindex="-1" role="dialog" aria-labelledby="myDatiPersonaliLabel" aria-hidden="true" style="width:600px; margin-left:-350px">
    <div class="modal-dialog">
    <div class="modal-content">
        <div class="modal-header">
            <button type="button" class="close" data-dismiss="modal"><span aria-hidden="true">&times;</span><span class="sr-only">Close</span></button>
            <h4 class="modal-title" style="color:gray">Trattamento dai personali</h4>
        </div>
        <div class="modal-body" id="myDatiPersonaliBody">
            .....
        </div>
        <div class="modal-footer text-center">
            <button type="button" class="btn btn-primary btn-lg" data-dismiss="modal">Autorizzo il trattamento</button>
        </div>
    </div>
  </div>
</div>

----------- JQuery -----------

    $('#DatiPersonali').dialog({
        close:function(){
            $('#Mailnutrition [name="AutorizzoTrattamento"]').val(true);
        });
     })