Question

State and support whether the p-value (from the test statistic) will be applied in a left-tail, right-tail, or two-tail test.

Answer 1

The p value can be applied to all of the test: left tail, right tail and two tail test.

Definition of p value: the p-value or probability value is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct

Let H_{^{​​​​​​}​​​​​​0} denote the null hypothesis and H_{​​​​​​1} denote the alternative hypothesis. We have the following