In order to run the test, researchers must specify where along the ordinal continuum that they hypothesize that the population mean exists. The one-sample median test then compares the observed median to the hypothesized median and the p-value is interpreted.
Due to limited precision, accuracy, and variability in ordinal outcomes, it behooves researchers to use either 5-point, 7-point, or higher level Likert scales. With more options, more unique variance can be accounted for the in the analysis and statistical power is increased. One-sampled tests possess more statistical power than other between-subjects statistics because there is only one group being analyzed, no other independent groups are included.