Type of hypothesis

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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