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

Question

05-04-2022
Mathematics

Answered

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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

Sagot :

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joaobezerra joaobezerra · Answer 1 · 2022-04-13T06:04:01-04:00

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 [tex]\alpha = 0.05[/tex] 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 https://brainly.com/question/26454209

Sagot :

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

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