Answer:
± 1.96 and the same as for a two-tailed z test at a 0.05 level of significance.
Step-by-step explanation:
We are given the following information in the question:
We perform a two-tailed hypothesis at a 0.05 level of significance.
We have to state the critical values for the same.
Z-critical:
[tex]z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96[/tex]
T-critical:
The critical value for t depends upon the degree of freedom which is obtained from the sample size.
If n is the sample size, then , n - 1 is the degree of freedom.
[tex]t_{critical}\text{ at infinite degree of freedom and}~\alpha_{0.05} = \pm 1.96[/tex]
which is the same as the z-critical
