(a) Using a = 0.025, do the data give evidence that being deprived of caffeine raises depression scores? Use an appropriate test to answer the question. State the null and alternative hypotheses. Report the value of the appropriate test statistic, the distribution of the test statistic under the null hypothesis, and the P-value of the test to answer the question. State your conclusion. Paired T hypothesis test: HD = H1 - M2 : Mean of the difference between Depr-NC and Depr-Caf Ho : HD = 0 HA : HD > 0 Hypothesis test results: Difference Mean Std. Err. DF T-Stat P-value Depr-NC - Depr-Caf 6.0333333 1.0299909 29 5.857657