3. [20 marks] Let X N Gannnafn. A) be a random variable with density A\" nl ,- H f(.I., A) m\"); exp(/\\.r). .1. > 0, /\\ > 0 for xed value n = 3. We wish to use a single value X = :1: to test the null hypothesis H() i /\\ = 1 against the alternative hypothesis 1 H1 2 A = g Denote by C = {:r: : :1,- > an} the critical region of a test at the signicance level of (1 = 0.05. (a) [1 m] What is the sample space S, the parameter space 8 and the null parameter space 80 of the test? "A 0 alternative hypothesis is replaced with H1: /\\