Does a hypothesis test ever prove the H_0?Explain.

Principle. Hypothesis testing requires constructing a statistical model of what the data would look like if chance or random processes alone were responsible for the results. The hypothesis that chance alone is responsible for the results is called the null hypothesis .The model of the result of the random process is called the distribution under the null hypothesis .

Tue Sep 25 2001 14:30:00 GMT-0400 (Eastern Daylight Time) · In mathematics the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1 / 2.Many consider it to be the most important unsolved problem in pure mathematics. It is of great interest in number theory because it implies results about the distribution of prime numbers.

Exclusion of the null hypothesis - Wikipedia

Statistical hypothesistesting - Wikipedia

Chi-square distribution - Wikipedia

Chi-square distribution - Wikipedia

In statistics the Wald test (named after Abraham Wald) assesses constraints on statistical parameters based on the weighted distance between the unrestricted estimate and its hypothesized value under the null hypothesis where the weight is the precision of the estimate. Intuitively the larger this weighted distance the less likely it is that the constraint is true.

In probability theory ...