An experiment studying the effects of a new medication records the resting heart rate of $40$ randomly selected individuals with a common medical condition before and after taking the medication. Based on this study, a $90\%$ confidence interval estimate for the average difference (after $-$ before) in heart rate is constructed. The resulting interval is $(2,14)$ beats per minute.
**Based on the interval above, is there convincing evidence at the $\alpha=0.10$ level of a statistically significant change in heart rate after taking the medication? **
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