If you want to check if your checkbox with ID defined as option_2 is checked, you can use next code:
if ( $('#option_2').attr('checked') ) {
alert('Yep, your checkbox is checkd');
} else {
alert('Nope, your checkbox is not checked');
}
Also, if you want to set some of your checkboxes as checked, you can do:
$("#option_2").attr("checked", true);
On the other side, you will uncheck it with:
$("#option_2").attr("checked", false);
