# Hypothesis Testing

### Statistical Hypothesis

A statistical test is a procedure based on a random and significant sample that will allow the acceptance or rejection of a hypothesis previously issued on the value of an unknown parameter of a population.

The presented hypothesis is denoted by H0 and is referred to as the null hypothesis.

The contrary hypothesis is denoted by H1 and is called the alternative hypothesis.

## Hypothesis Testing

To perform a hypothesis test, there are four steps that must be followed.

1. State the null H0 and the alternative H1 hypothesis.

Two Tailed One Tailed H0= k H1 ≠ k H0 ≥ k H1 < k H0 ≤ k H1 > k

2.From a confidence level, (1 − α), or a significance level, α, determine:

The value of zα/2 (two tailed), or zα (one tailed)

The limit of acceptance of the sample parameter μ o p.

3.Calculate: the value of x or p' from the sample.

4.If the sample parameter value is within the limit of acceptance, accept the hypothesis with a significance level α.

If not, reject it.