How to set active bootostrap checkbox?

Question

JavaScript

There is a form

<div class="form-group col-md-5">
    <label for="estate_service">Бытовая техника и мебель:</label>
    <p id="estate_service">
      <input type="checkbox" needed="true" id="estate_service-washing_machine" data-toggle="toggle" data-on="<i class='icon-washing-machine'></i>" data-off="<i class='icon-washing-machine'></i>"data-onstyle="outline-success" data-offstyle="outline">
      <input type="checkbox" needed="true" id="estate_service-fridge" data-toggle="toggle" data-on="<i class='icon-refrigerator'></i>" data-off="<i class='icon-refrigerator'></i>"data-onstyle="outline-success" data-offstyle="outline">
      <input type="checkbox" needed="true" id="estate_service-tv" data-toggle="toggle" data-on="<i class='icon-television'></i>" data-off="<i class='icon-television'></i>"data-onstyle="outline-success" data-offstyle="outline">
      <input type="checkbox" needed="true" id="estate_service-internet" data-toggle="toggle" data-on="<i class='icon-internet-explorer'></i>" data-off="<i class='icon-internet-explorer'></i>"data-onstyle="outline-success" data-offstyle="outline">
      <input type="checkbox" needed="true" id="estate_sevice-phone" data-toggle="toggle" data-on="<i class='icon-phone'></i>" data-off="<i class='icon-phone'></i>"data-onstyle="outline-success" data-offstyle="outline">
      <input id="estate_furniture" type="checkbox" needed="true" data-toggle="toggle" data-on="<i class='fa fa-bed' aria-hidden='true'></i>" data-off="<i class='fa fa-bed' aria-hidden='true'></i>"data-onstyle="outline-success" data-offstyle="info">
    </p>    
  </div>

There is JS:

jQuery('input:checkbox ' + '[needed=true],' + '#'+index).attr("checked", "checked");

index comes with ajax.
The situation is that on a regular checkbox everything works as it should (circled in green on the screen), but it doesn’t work in the question above - it doesn’t catch .. it doesn’t set the checked state (circled in red on the screen). What could be the reason and how to fix it?