question in pictures below:

5. P-Values Formulas W Bookmark this page In each of the following questions, you are given an i.i.d. sample and two hypotheses. For any a E (0, 1), define a test with asymptotic level a, then give a formula for the asymptotic p-value of your test. (a) 1 point possible (graded) X1. ..., Xn ~ Poiss () for some unknown 1 > 0; Ho : A = 10 v.s. H1 : A # 20 where 20 > 0. (Type barX_n for X, lambda_0 for Ap. . If applicable, type abs(x) for |x|, Phi(x) for @ (x) = P(Z (0, 1), and q(alpha) for qa, the 1 - a quantile of a standard normal variable, e.g. enter q(0.01) for 90.01.) Asymptotic p-value = STANDARD NOTATION Submit You have used 0 of 3 attempts Save (b) 1 point possible (graded) X1. ...,Xn 1.Lid Poiss () for some unknown 1 > 0; Ho : 1210 v.S. H1 : AS10 where 10 > 0. (Type barX_n for X, lambda_0 for Ag. . If applicable, type abs(x) for |x|, Phi(x) for @ (x) = P(Z (0, 1), and q(alpha) for qu, the 1 - a quantile of a standard normal variable.) Asymptotic p-value = STANDARD NOTATION Submit You have used 0 of 3 attempts Save (c) 1 point possible (graded) X1, ..., Xn ~ Exp (2) for some unknown 1 > 0; Ho: 1= do V.s. H1 : A # 20 where 20 > 0. (Type barX_n for Xn, lambda_0 for 20. If applicable, type abs(x) for |x|, Phi(x) for @ (x) = P(Z (0, 1), and q(alpha) for qa, the 1 - a quantile of a standard normal variable.) Asymptotic p-value =