Please help

QUESTIO}: A.3 [20 POINTS]. You have collected T observations of a time series Yr. You wish to test H0 : Yr, is i_i.d_ and decide to use the sample autocorrelation function by (k), k 23 l, for this purpose. i Under Hg, show that VT" - h >d N D, l , for an}r h 3 1. Pi (ii) You decide to use Q = T th=1 (h)? for some m } 1I to test H0. Show that Q >d K?\" under Hg. You can here without proof use that, for all m 3_> Zp} (1) , ____1 lby (m) are mutually independent of each other in large samples under Hg. (iii) Will your test have power against all departures from HD? Explain