Description:
<jats:p>The existing <jats:italic>t</jats:italic>-test of a correlation coefficient works under a determinate environment. In uncertainty, the existing <jats:italic>t</jats:italic>-test of a correlation coefficient is unable to investigate the significance of correlation. The study presents a modification of the existing <jats:italic>t</jats:italic>-test of a correlation coefficient using neutrosophic statistics. The test statistic is designed to investigate the significance of correlation when imprecise observations or uncertainties in the level of significance are presented. The test is applied to data obtained from patients with diabetes. From the data analysis, the proposed <jats:italic>t</jats:italic>-test of a correlation coefficient is found to be more effective than existing tests.</jats:p>