Researchers had a hypothesis that wearing socks over boots decreases the sensation of slipperiness when walking down an icy road. $320$ volunteers were randomized between a treatment group and a control group, and both groups were asked to walk downhill on an icy road. The control group simply wore boots, while the treatment group wore socks over their boots. Once downhill, the participants indicated how slippery the descent felt on a scale ranging from $1$ (not slippery) to $5$ (extremely slippery). The results of the experiment showed that the mean slipperiness score of the treatment group was $1$ point less than the mean slipperiness score of the control group. To test whether the results could be explained by random chance, the researchers created the table below, which summarizes the results of $1000$ re-randomizations of the data (with differences between means rounded to the nearest $0.2$ points). **According to the simulations, what is the probability of the treatment group's mean being lower than the control group's mean by $1$ point 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 mean $-$ Control group mean | Frequency :-: | :-: $-1.4$ | $2$ $-1.2$ | $11$ $-1$ | $16$ $-0.8$ | $42$ $-0.6$ | $90$ $-0.4$ | $98$ $-0.2$ | $128$ $0$ | $236$ $0.2$ | $143$ $0.4$ | $92$ $0.6$ | $96$ $0.8$ | $24$ $1$ | $10$ $1.2$ | $8$ $1.4$ | $4$