if, in a (two-tail) hypothesis test, the p-value is 0.0553, what is your statistical decision if you test the null hypothesis at the 0.09 level of significance

Rule: If the p-value is smaller than alpha, then we reject the null hypothesis. Otherwise, there isn't enough statistically significant evidence to overturn the null.

In this case, the level of significance is 0.09 so alpha = 0.09
The p-value is 0.0553, which is smaller than alpha. So we reject the null.