# 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 **H _{0 }** and is referred to as the

**null hypothesis**.

The contrary hypothesis is denoted by **H _{1}** 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 **H _{0}** and the alternative

**H**hypothesis.

_{1}Two Tailed | H_{0}= k |
H_{1} ≠ k |
---|---|---|

One Tailed | H_{0 }≥ k |
H_{1} < k |

H_{0} ≤ k |
H_{1} > k |

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

The value of **z _{α/2}** (two tailed), or

**z**(one tailed)

_{α} 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.