Suppose that the rejection region of a test 𝜓 has the form 𝑅={𝑋âŽŊâŽŊâŽŊâŽŊâŽŊ𝑛:𝑋âŽŊâŽŊâŽŊâŽŊâŽŊ𝑛>𝑐} . Find the smallest 𝑐 such that 𝜓 has level 𝛞 .

(If applicable, type abs(x) for |ð‘Ĩ| , Phi(x) for ÎĶ(ð‘Ĩ)=𝐏(𝑍â‰Īð‘Ĩ) where 𝑍∞N(0,1) , and q(alpha) for 𝑞𝛞 , the 1−𝛞 quantile of a standard normal variable.)

What is
𝑐â‰Ĩ ?