Show that the two-sided p-value is (1-hat{F}_{T}left(left|t^{*} ight| ight)+hat{F}_{T}left(-left|t^{*} ight| ight)), where (hat{F}_{T}) is the ECDF of

Show that the two-sided p-value is \(1-\hat{F}_{T}\left(\left|t^{*}\right|\right)+\hat{F}_{T}\left(-\left|t^{*}\right|\right)\), where \(\hat{F}_{T}\) is the ECDF of the randomization distribution of \(T\) and \(t^{*}\) is the observed value of \(T\).