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.
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||H0= k||H1 ≠ k|
|One Tailed||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.