Suppose that a single observation X is to be drawn from the following p.d.f.: f(x|theta) = { 2(1 - theta)x + theta for 0 <= x <= 1} and 0 otherwise. where the value of theta is unknown (0 <= theta <= 2). Suppose also that the following hypotheses are to be tested: H0 : theta = 2, H1 : theta = 0. Determine the test procedure delta for which alpha(delta) + 2beta(delta) is a minimum, and calculate the minimum value. The minimum value is closest to: |

Last modified: Wed May 13 12:29:11 EDT 1998