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**Answer**

In hypothesis testing there are two types of hypotheses

## 1. The null hypothesis

This is denoted by ${H}_{0}$. This represents the status quo and it states that there is no relationship between the variables being tested.

The null hypothesis contains the equality sign, that is , $=,\ge ,and\le $

For example,

${H}_{0}:\mu =20$

## 2. The alternative hypothesis

This is denoted by, ${H}_{a}or{H}_{1}$. it states that there is a relationship between the variables being tested. It does not contain the equality sign and it is represented by, $<,>and\ne $.

For example,

${H}_{a}:\mu <20$

The alternative hypothesis gives the direction of the hypothesis.

1.Right tailed test.

This is when the alternative hypothesis tests "greater than" and uses the sign">"

e.g

${H}_{a}:\mu >20$

2.left tailed test.

This is when the alternative hypothesis tests "less than" and uses the sign"<"

e.g

${H}_{a}:\mu <20$

3.Two tailed test.

This is when the alternative hypothesis tests "not equal to or different from" and uses the sign"$\ne $"

e.g

${H}_{a}:\mu \ne 20$

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