You're problem is that you're converting the button into an HTML snippet when you add it to the table, but that snippet is not the same object as the one that has the click handler on it.

$("#myButton").click(function () {
    var test = $('<button>Test</button>').click(function () {
        alert('hi');
    });

    $("#nodeAttributeHeader").css('display', 'table-row'); // NB: changed

    var tr = $('<tr>').insertBefore('#addNodeTable tr:last');
    var td = $('<td>').append(test).appendto(tr);
});

Your problem is that you're converting the button into an HTML snippet when you add it to the table, but that snippet is not the same object as the one that has the click handler on it.

$("#myButton").click(function () {
    var test = $('<button>Test</button>').click(function () {
        alert('hi');
    });

    $("#nodeAttributeHeader").css('display', 'table-row'); // NB: changed

    var tr = $('<tr>').insertBefore('#addNodeTable tr:last');
    var td = $('<td>').append(test).appendTo(tr);
});