In this paper the new statistical method called $quot;New Modified Triangle Test$quot; is studied. This method is to test the null hypothesis based on the result which comes from evaluating sample size $quot;t$quot;, where t≥3, by using Triangle Preference Scale Test. It a confirmed that $quot;New Modified Scheffe`s Method 1$quot; can be used for appraising $quot;New Modified Triangle Test$quot;. In this report, the weight fraction of in-correct oddity chosen to correct oddity chosen is made 1/2 in terms of chance probability.