开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

xiao15 · 2021年11月08日

有个问题

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。

老师能不能详细解释一下选项b和c 谢谢!

1 个答案
已采纳答案

星星_品职助教 · 2021年11月09日

同学你好,

以单尾检验的备择假设b1>0,和双尾检验的备择假设b1≠0为例。

前者是研究者确定b1就应该大于0,所以明确的认为拒绝域就在右边;后者是研究者不确定b1到底是大于0还是小于0,只知道b1一定是不等于0,所以只能设一个双尾的拒绝域。

以上内容就是B选项描述的单尾检验反应了研究者的信心更强。

-------

C选项这种描述最好的办法就是直接用背过的值做一个例子来辅助判断。

正态分布下,95%的单尾检验对应关键值(rejection point)的绝对值为1.645;而95%的双尾检验对应关键值的绝对值为1.96.

C选项的意思是单尾检验(one-tailed hypothesis test)对应的关键值的绝对值要比双尾( two-tailed)检验,由于1.645<1.96,所以C选项说反了。

正确的说法是:The absolute value of the rejection point is smaller than that of a two-tailed test at the same level of significance.

  • 1

    回答
  • 1

    关注
  • 749

    浏览
相关问题

NO.PZ2017092702000124 问题如下 Whiof the following statements regarng a one-tailehypothesis test is correct? A.The rejection region increases in size the level of significanbecomes smaller. B.A one-tailetest more strongly reflects the beliefs of the researcher tha two tailetest. C.The absolute value of the rejection point is larger ththof a two-tailetest the same level of significance. B is correct. One-tailetests in whithe alternative is \"greater than\" or \"less than\" represent the beliefs of the researcher more firmly tha \"not equto\" 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。 A为什么是错的呢?

2024-04-30 20:36 1 · 回答

NO.PZ2017092702000124 问题如下 Whiof the following statements regarng a one-tailehypothesis test is correct? A.The rejection region increases in size the level of significanbecomes smaller. B.A one-tailetest more strongly reflects the beliefs of the researcher tha two tailetest. C.The absolute value of the rejection point is larger ththof a two-tailetest the same level of significance. B is correct. One-tailetests in whithe alternative is \"greater than\" or \"less than\" represent the beliefs of the researcher more firmly tha \"not equto\" 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。 老师能不能一下A是什么意思

2022-05-19 20:56 1 · 回答

NO.PZ2017092702000124 问题如下 Whiof the following statements regarng a one-tailehypothesis test is correct? A.The rejection region increases in size the level of significanbecomes smaller. B.A one-tailetest more strongly reflects the beliefs of the researcher tha two tailetest. C.The absolute value of the rejection point is larger ththof a two-tailetest the same level of significance. B is correct. One-tailetests in whithe alternative is \"greater than\" or \"less than\" represent the beliefs of the researcher more firmly tha \"not equto\" 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 significan变小,比方说从5%到1%,那rejection region 的size是变小的啊

2022-04-26 10:16 1 · 回答

NO.PZ2017092702000124 A one-tailetest more strongly reflects the beliefs of the researcher tha two tailetest. The absolute value of the rejection point is larger ththof a two-tailetest the same level of significance. B is correct. One-tailetests in whithe alternative is \"greater than\" or \"less than\" represent the beliefs of the researcher more firmly tha \"not equto\" 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。 请问老师可以说一下a 吗?

2021-12-19 01:20 1 · 回答