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![yra 100 7 Zxi - 100 HO NO.4) to al V 10002 too 1007 abitical begion Ź Xi - Yoelka icl ECP(29]}to) || shoo t Pi izxi <* | HO)](https://i.imgur.com/EM7xKWt.png)
solution : Let (74X217 8200) be the test function of negecting Hoi r=46 VS H! 0646 aut á = 0.01. o using Nop lemma, ople 2 = r 1, FH(X) 072 y C 3 Firo (218=1/2) LO, Otherwise unders Hir=0, </2] Now, fHi (2) ye = goo (1-gi yo 10., Store Kiye - P(x) =(3,2x1 <k 70, otherwise where k is chosen in such a way that EC 912) Ho) = x since sample size is large we use central limit theonem to find био 2xi - E XI) NC 0,4) r vor (2x)
yra 100 7 Zxi - 100 HO NO.4) to al V 10002 too 1007 abitical begion Ź Xi - Yoelka icl ECP(29]}to) || shoo t Pi izxi <* | HO) = x + P v 2x1-100 CK-lool= = 0·01 1200 poena 200 K-100 = Zooga 520iag is upper V200 R-100 =-2.326 of Neo, 187 1200 K=100- 2.3261200 =67-105 critical Region : - K-100 = toiaq L 99% point 100 .670105 Lii P6%) = 54, 2 x 64.405 90, Otherwise such that ECP exvAm17 %108) Hto) - L
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