Question

How is p-value related to `alpha`?

Answer 1

We reject null hypothesis if p-value is less than `\alpha`

Explanation:

p-value = probability that an event (as extreme as current sample) occurs when null hypothesis is true. The lower is this probability, the more unlikely it is that the null is true.

`\alpha` = significance level that a researcher sets before conducting the test. `\alpha` = probability of type 1 error.

Relation: We reject null hypothesis if p-value is very small, more precisely, when it is smaller than the significance level `\alpha`