試題詳解

5. A random draw (with replacement) of 1000 balls from a pool of several million balls is conducted. Each ball is cither 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 H₀: P = 0.4 vs. H₁: P ≠0.4. Suppose that you decide to reject  Note that the sample of l 000 balls is considered as a large sample. What is the type I error of this test?
(A)0.178
(B)0.256
(C)0.367
(D) 0.488
(E) 0.519