Step 1: Set up the two camps. Helper T cells split into Th1, which favors cell-mediated defense, and Th2, which favors antibody and allergic responses. The question wants a Th2 cytokine.
Step 2: Memorize the Th2 list. A handy cluster for Th2 is IL-4, IL-5, IL-6, IL-10 and IL-13. IL-4 and IL-13 push IgE class switching, IL-5 grows eosinophils, and IL-10 dampens Th1. Of the choices, only IL-13 sits in this Th2 cluster.
Step 3: Check the Th1 side so you do not confuse it. Th1 hallmarks are IL-2 and interferon-gamma, used to switch on macrophages. IL-13 has nothing to do with this side.
Step 4: Knock out the wrong options. IL-1 comes from activated macrophages, IL-7 comes from marrow and thymic stroma for lymphocyte survival, and IL-11 comes from stroma for platelet production, so none qualify as Th2.
\[\boxed{\text{IL-13}}\]