Giovanna usually takes bus $B$ to work, but now she thinks that bus $A$ gets her to work faster. She randomized $50$ workdays between a treatment group and a control group. For each day from the treatment group, she took bus $A$; and for each day from the control group, she took bus $B$. Each day she timed the length of her drive. The results of the experiment showed that the median travel duration for bus $A$ is $8$ minutes less than the median travel duration for bus $B$. To test whether the results could be explained by random chance, she created the table below, which summarizes the results of $1000$ re-randomizations of the data (with differences between medians rounded to the nearest $2$ minutes). **According to the simulations, what is the probability of the treatment group's median being lower than the control group's median by $8$ minutes or more?** $\qquad$[[☃ input-number 1]] Assume that if the probability you found is *lower* than $5\%$, then the result should be considered significant. **What should we conclude regarding the experiment's result?** [[☃ radio 1]] Treatment group median $-$ Control group median | Frequency :-: | :-: $-10$ | $8$ $-8$ | $85$ $-6$ | $97$ $-4$ | $161$ $-2$ | $83$ $0$ | $127$ $2$ | $93$ $4$ | $159$ $6$ | $107$ $8$ | $62$ $10$ | $18$