use the TI-84 Plus display to make a decision to reject or fail to reject the null hypothesis at the level of significance. Make your decision using the standardized test statistic and using the P-value. Assume the sample sizes are equal. ### Hypothesis Testing with TI-84 Plus Display**Instructions:**In Exercises 9 and 10, use the TI-84 Plus display to make a decision to reject or fail to reject the null hypothesis at the specified level of significance. Make your decision using the standardized test statistic and the P-value. Assume the sample sizes are equal.---**Exercise 9:**- **Significance Level (\(\alpha\)):** 0.05**2-SampZTest Display:**- Hypothesis: \(μ_1 > μ_2\)- Test Statistic (z): 2.956485408- P-value: 0.0013118068- Sample Mean 1 (\(\bar{x}_1\)): 1.25- Sample Mean 2 (\(\bar{x}_2\)): 2.425- Sample Size 1 (\(n_1\)): 120**Decision:**- Since the P-value (0.0013) is less than \(\alpha\) (0.05), reject the null hypothesis.---**Exercise 10:**- **Significance Level (\(\alpha\)):** 0.01**2-SampZTest Display:**- Hypothesis: \(μ_1 > μ_2\)- Test Statistic (z): 1.94165065- P-value: 0.0260833059- Sample Mean 1 (\(\bar{x}_1\)): 44- Sample Mean 2 (\(\bar{x}_2\)): 42- Sample Size 1 (\(n_1\)): 50**Decision:**- Since the P-value (0.0261) is greater than \(\alpha\) (0.01), fail to reject the null hypothesis.---**Conclusion:**- In **Exercise 9**, with a significance level of 0.05, the analysis shows a significant difference, leading to rejection of the null hypothesis.- In **Exercise 10**, at a stricter significance level of 0.01, the evidence is not strong enough to reject the null hypothesis.

Name: use the TI-84 Plus display to make a decision to reject or fail to rej
Uploaded: 2024-03-20T07:07:12.000Z
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Description: use the TI-84 Plus display to make a decision to reject or fail to reject the null hypothesis at the level of significance. Make your decision using the standardized test statistic and using the P-value. Assume the sample sizes are equal. ### Hypothe

Q9. P-value = 0.003.. < 0.05 Which means the result is statistically significant. Decision : Reject the null hypothesis Conclusion: We have enough evidence to conclude that there is a significant difference between the mean ====================================================Q10 . P-value = 0.026.. > 0.01 So, The result is not statistically significant Decision: Fail to reject Ho Conclusion : We have enough evidence to conclude that the population mean of one is not greater than the population mean of 2 =================================