The alternative hypothesis is effectively the opposite of a null hypothesis. Thus, they are mutually exclusive, and only one can be true. However, one of the two hypotheses will always be true.

Before conducting a one-tailed test, establish null and alternative hypotheses. The null hypothesis is the claim to reject, while the alternative hypothesis is accepted if the null is rejected.

Hypothesis testing problems in which the null hypothesis is simple, the parameter space is finite dimensional and the supports of the probability measures are independent of the parameter are ...

The P-value is a random variable derived from the distribution of the test statistic used to analyze a data set and to test a null hypothesis. Under the null hypothesis, the P-value based on a ...

SMASH could explain dark matter, neutrino oscillations, baryogenesis, cosmic inflation, and the strong CP problem. The team asserts that the hypothesis could be tested, and possibly confirmed ...

Does the simulation hypothesis offer a compelling argument, or is it just interesting food for thought? Let's find out.

For example, the Journal of Articles in Support of the Null Hypothesis has been publishing twice a year since 2002, and the Public Library of Science occasionally publishes negative and null ...

Mathematician Sir Michael Atiyah claimed he solved the "most important open problem" in maths, the Riemann hypothesis. At a lecture in Germany on Monday he presented his solution, which needs to ...