For a two-tailed test with a sample size of 40, the null hypothesis will not be rejected at a 5% level of significance if the test statistic is
A)between -1.96 and 1.96, exclusively
B)greater than 1.96
C)less than 1.645
D)greater than -1.645

Question

Quizplus · Accepted Answer

For a two-tailed test at a 5% level of significance, we use a critical value of ±1.96. Therefore, if the test statistic falls between -1.96 and 1.96 (exclusive), we fail to reject the null hypothesis. This is because the null hypothesis represents the range of values that the sample statistic could take under the null hypothesis. Thus, if the test statistic falls within this range, it is not unlikely enough to reject the null hypothesis. Therefore, choice A is the best answer.

For a Two-Tailed Test with a Sample Size of 40