Question

Using a two-tailed test with an alpha of 0.05, a research reports an obtained Z-score of -2. The researcher should reject the null
hypothesis.
True
False

Answer 1

Since the absolute value of the z-score is greater than the critical value, the statement is true.

When do we reject or do not reject the null hypothesis?

For a two-tailed test:

• If the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis.

• If it is more, we reject.

The critical value for a two-tailed test with $\alpha = 0.05$ is of |z| = 1.96.

In this problem, we have that Z = -2, hence |Z| = 2, which is greater than the critical value, hence we reject the null hypothesis and the statement is True.

More can be learned about an hypothesis test at brainly.com/question/26454209