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.

In Hypothesis Testing 1, you were introduced to the ideas of hypothesis testing in the context of deciding whether a coin was fair or biased in favor of heads. In this section hypothesis testing ...

The first of 3 objectives in this study was to address the major problem with Null Hypothesis Significance Testing (NHST) and 2 common misconceptions related to NHST that cause confusion for students ...

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 ...

An institution has offered a $1 million prize to anyone who can solve a famous maths problem that has puzzled mathematicians for more than a century.

A retired mathematician claims he has solved a 160-year-old math problem called the Riemann hypothesis, which could net a prize of $1 million.

Hygiene Hypothesis: Millions of people suffer from the sneezing and wheezing of allergies and asthma, diseases that have suddenly become epidemic in some parts of the world.