Here's the problem, I'm stuck:
Let X ~ B(1,theta) (f(x) = (theta^x)*(1-theta)^(1-x) x = 0,1). To test H(0) : theta=0.25 vs H(a) : theta < 0.25, we take a random sample of size 10 and reject the H(0) if and only if Sigma(x_i)<1 (i.e. the sum of all x sub i with i ranging from 1 to 10 is less than 1). Find the power function pi(theta), 0<theta<=0.25, of this test.
Thanks.
Let X ~ B(1,theta) (f(x) = (theta^x)*(1-theta)^(1-x) x = 0,1). To test H(0) : theta=0.25 vs H(a) : theta < 0.25, we take a random sample of size 10 and reject the H(0) if and only if Sigma(x_i)<1 (i.e. the sum of all x sub i with i ranging from 1 to 10 is less than 1). Find the power function pi(theta), 0<theta<=0.25, of this test.
Thanks.