In a two-tailed test for the population mean, the null hypothesis will be rejected at level of significance if the value of the test statistic z is such that: A) | z | z_a B) | z |

Question

In a two-tailed test for the population mean, the null hypothesis will be rejected at level of significance if the value of the test statistic z is such that: A) | z | > z_a B) | z | < - z_a/2 C) -z_a< z < z_a D) | z | > z_a/2 E) | z | < z_a

Quizplus · Accepted Answer

In a two-tailed test for the population mean, the null hypothesis will be rejected at a level of significance of α if the absolute value of the test statistic z is greater than the critical value obtained from the standard normal distribution for the α/2 level of significance (since it is a two-tailed test). Therefore, the correct choice is |z| > z_a/2.

In a Two-Tailed Test for the Population Mean, the Null