NO.PZ2023091601000050
问题如下:
When testing a hypothesis, which of the following
statements is correct when the level of significance of the test is decreased?
选项:
A.The likelihood of
rejecting the null hypothesis when it is true decreases.
The likelihood of
making a Type I error increases.
The
null hypothesis is rejected more frequently, even when it is actually false.
The likelihood of
making a Type II error decreases.
解释:
Decreasing the level
of significance of the test decreases the probability of making a Type I error
and hence makes it more difficult to reject the null when it is true. However,
the decrease in the chance of making a Type I error comes at the cost of increasing
the probability of making a Type II error, because the null is rejected less
frequently, even when it is actually false.
置信区间变窄,去真的可能性变大,这就是Type I的错误啊?