The ordinal T for small samples only rejects null when the obtained value is equal to or less then the tabled value.

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The ordinal T test is a non-parametric test that is used to compare the medians of two independent samples. The null hypothesis for the ordinal T test is that the medians of the two samples are equal. The alternative hypothesis is that the medians of the two samples are not equal. The ordinal T test statistic is calculated by subtracting the median of the first sample from the median of the second sample and then dividing the difference by the standard deviation of the combined sample. The ordinal T test statistic is then compared to a critical value that is based on the sample size and the level of significance. If the ordinal T test statistic is equal to or less than the critical value, then the null hypothesis is rejected and the alternative hypothesis is accepted.

The Ordinal T for Small Samples Only Rejects Null When