Let X1, . . . ,Xn be an i.i.d. sample from the Pareto distribution with the density function at: | 300, 9) = 0$3$_9_1, :1:
Let X1, . . . ,Xn be an i.i.d. sample from the Pareto distribution with the density function at: | 300, 9) = 0$3$_9_1, :1: 2 560, where 330 > 0 and 0 > 0. Assume that $0 is given. In Tutorial 9, we derived a likelihood ratio test of H0 : 6 = 00 versus H1 : 0 79 00 and found that the rejection region is of the form {17' exp(9017) g c}, where Y;- = log(Xz-/a:0), z' = 1, . . .,n. In Tutorial 10, we deduced that the rejection region may be expressed in the form {17 S 320} U {l7 2 331}, Where :00 and 271 are determined by 6. Recall from Assessment 1 LL '7 that the null distribution of 17 is gamma with parameters a : n and A : n00. Suppose that, for a specic sample, 17 was found to be yobs. Find the pvalue (accurate to at least four decimal places)
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