Subjects statistics

Hypothesis Test 04Eea5

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1. **Stating the problem:** We are given a test statistic $z = 2$ and a critical value $cv = 1.96$. We need to determine the hypothesis test result. 2. **Formula and rules:** In hypothesis testing, if the absolute value of the test statistic $|z|$ is greater than the critical value $cv$, we reject the null hypothesis $H_0$. Otherwise, we fail to reject $H_0$. 3. **Evaluate the test statistic:** $$|z| = |2| = 2$$ 4. **Compare with critical value:** $$2 > 1.96$$ 5. **Conclusion:** Since $|z|$ is greater than $cv$, we reject the null hypothesis $H_0$. This means the test result is statistically significant at the given significance level corresponding to $cv = 1.96$ (usually 5%). **Final answer:** Reject the null hypothesis $H_0$ because $|z| > cv$.