試題詳解

3. A random draw (with replacement) of 1000 balls from a pool of several million balls is conducted. Each ball is either blue or red. Let p denote the fraction of blue balls in the population. Let denote the fraction of blue balls in the sample. You want to test the competing hypotheses Ho: p = 0.4 vs. H₁: p≠0.4. Suppose that you decide to reject. Note that the sample of 1000 balls is considered as a large sample. What is the type I etror of this test?
(A)0.197
(B) 0.261
(C) 0.325
(D) 0.413
(E) 0.522