NO.PZ2017092702000124
问题如下:
Which of the following statements regarding a one-tailed hypothesis test is correct?
选项:
A.The rejection region increases in size as the level of significance becomes smaller.
B.A one-tailed test more strongly reflects the beliefs of the researcher than a two tailed test.
C.The absolute value of the rejection point is larger than that of a two-tailed test at the same level of significance.
解释:
B is correct.
One-tailed tests in which the alternative is "greater than" or "less than" represent the beliefs of the researcher more firmly than a "not equal to" alternative hypothesis
一个双尾检验是例如均值是否等于0,此时检验结果无论是远大于0还是远小于0都可以拒绝原假设。并没有一个明确的方向。
而一个单尾检验有确定的方向,例如检验均值是否大于0。此时只有均值远小于0才可以拒绝原假设。
所以单尾的检验更有针对性,反应出来检验者对于检验的方向和信心更强。
我觉得应该是当level of significance 变小,比方说从5%到1%,那rejection region 的size是变小的啊