Mr. Lian claimed in an advertisement that his gym is more popular than his competitor's, Coach Tao. Coach Tao, however, disagrees and wants to use a significance test to show that the average number of people who visit her gym daily is greater than the average number of people who visit Mr. Lian's gym daily.
Coach Tao and Mr. Lian each take a random sample of $20$ days from last year and record the daily attendance at their gyms for theses days. The data collected yield standardized test statistic of $t=1.45$. All the conditions for inference are met.
**Based on the standardized test statistic above, what conclusion can Coach Tao make at the $\alpha=0.05$ significance level?**
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