问题如下:
All else equal, a larger significant level indicates:
选项:
A.A higher probability of type I error and type II error.
B.A higher probability of type I error and lower probability of type II error.
C.A lower probability of type I error and higher probability of type II error.
解释:
B is correct.
The significant level of a test is the probability of a Type I error. Therefore a larger significant level means a higher probability of Type I error.
Type II error occurs when we fail to reject a false null hypothesis. It will be smaller if significant level of a test is larger, all else equal.
significance level 越大说明 α 越大,在其他相等的情况下,不就意味着x-μ/x/根号下n,n变大了? n变大了,不是typeI 和type II 都变下?