For a two-tail test,the null hypothesis will be rejected at the 0.05 level of significance if the value of the standardized test statistic z is:
A)smaller than 1.96 or greater than −1.96
B)greater than −1.96 or smaller than 1.96
C)smaller than −1.96 or greater than 1.96
D)greater than 1.645 or less than −1.645

Question

Quizplus · Accepted Answer

For a two-tail test with a 0.05 level of significance, the critical values for the z-test are ±1.96. Therefore, if the calculated z-score falls outside this range (i.e., smaller than -1.96 or greater than 1.96), we reject the null hypothesis. This means that the answer is C, which states "smaller than −1.96 or greater than 1.96."

For a Two-Tail Test,the Null Hypothesis Will Be Rejected at the 0.05