NO.PZ2023091601000051
问题如下:
An oil industry analyst with a large international bank has constructed a sample of 1,000 individual firms on which she plans to perform statistical analyses. She considers either decreasing the level of significance used to test hypotheses from 5% to 1%, or removing 500 state-run firms from her sample. What impact will these changes have on the probability of making Type I and Type II errors?
选项:
Level of significance decrease Reduction in sample size
A.
P(Type
I error) increases P(Type
I error) increases
B.
P(Type I error) decreases P(Type II error) increases
C.
P(Type II error) increases P(Type I error) decreases
D.
P(Type II error) decreases P(Type II error) decreases
解释:
A Type I error is the
error of rejecting a hypothesis when it is true. A Type II error is the error
of accepting a false hypothesis.
A decrease in the
level of significance decreases P(Type I error) but increases P(Type II error).
Reducing the sample size increases P(Type II error).
C为啥不对啊?C和B不是一个意思吗?