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\begin{eqnarray*} L & = & \hat{d}_{\mi{MH}} ~ - ~ z_{\alpha /2} \sqrt { \lambda _1 L_1 (1-L_1) + \lambda _2 U_2 (1-U_2) } \\[0.10in] U & = & \hat{d}_{\mi{MH}} ~ + ~ z_{\alpha /2} \sqrt { \lambda _2 L_2 (1-L_2) + \lambda _1 U_1 (1-U_1) } \end{eqnarray*}