%0 Journal Article %T A New Definition of P-Value Involving the Maximum Likelihood Estimator %A H. W. Corley %J Open Journal of Statistics %P 546-552 %@ 2161-7198 %D 2024 %I Scientific Research Publishing %R 10.4236/ojs.2024.145024 %X We present here an alternative definition of the P-value for statistical hypothesis test of a real-valued parameter for a continuous random variable X. Our approach uses neither the notion of Type I error nor the assumption that null hypothesis is true. Instead, the new P-value involves the maximum likelihood estimator, which is usually available for a parameter such as the mean μ or standard deviation σ of a random variable X with a common distribution. %K Hypothesis Testing %K P-Value %K Evidence %K Statistics %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=136998