DSE 2012 Ques 39-plzz help

Posted by niki on May 31, 2013; 2:44pm
URL: http://discussion-forum.276.s1.nabble.com/DSE-2012-Ques-39-plzz-help-tp7581555.html

Suppose you have a sample of size one from one of the
following densities
H0 : f(x) = 2x   0 <= x<=1
H1 : f(x) = 2 - 2x 0 <= x <= 1
Let alpha and beta denote type I error and type II error, respectively. Find the test
procedure of the form "Reject H0 if x < k" with alpha = 0:09. Find beta for this
test
(a) k = 0:5;  = 0:25
(b) k = 0:5;  = 0:36
(c) k = 0:3;  = 0:16
(d) k = 0:3;  = 0:49
how to do this question..??