In a recent study examining the effectiveness of a new drug against a placebo, researchers tested the null hypothesis $H_0$: "The new drug has no effect on recovery time compared to the placebo" against the alternative hypothesis $H_a$: "The new drug reduces recovery time compared to the placebo". After analyzing the data with a significance level of $\\alpha = 0.05$, the researchers found a p-value of 0.03. Based on this result, they need to determine the appropriate conclusion regarding their hypotheses.
What conclusion should the researchers draw?