When conducting a two-tailed z.-test with the test value was 2.07.The decision would be: do
not reject the null hypothesis.

Question

When conducting a two-tailed z.-test with  the test value was 2.07.The decision would be: do
not reject the null hypothesis.

Quizplus · Accepted Answer

A two-tailed z-test with a critical value of 2.11 (given in the question as 11ebb61d_fbfd_734c_92a9_1529b7b39578_TB8376_11) would mean that the rejection region is split evenly between the two tails (i.e. 0.5 in each tail). Since the test value of 2.07 falls within the non-rejection region (between -2.11 and 2.11), we do not reject the null hypothesis. The critical value for a two-tailed z-test with 11ebb61d_fbfd_734c_92a9_1529b7b39578_TB8376_11 at a 5% level of significance is approximately 1.96. Since the test value of 2.07 is beyond the critical value, we fail to reject the null hypothesis. Therefore, the answer is A.

When Conducting a Two-Tailed Z