Neutrosophic Run Test for Randomness in Imprecise Data with Application

The statistical tests have been applied under the assumption that the observations in the sample should be random. The existing run test for randomness is applied when no uncertainty is presented. In practice, when implementing the test, the uncertainty is always present and should be evaluated in implementing the statistical tests. In this paper, the modification of the existing run test for randomness is presented using the idea of neutrosophic statistics. The proposed neutrosophic run test for randomness will be applied when the decision-makers are uncertain about the level of significance, observations, and sample size. The application of the proposed test will be given using the data of women with HIV/AIDS. From HIV/AIDS Data, it is concluded that the presence of indeterminacy may affect the decision about the null hypothesis.