Explain the meaning of each term a Null Hypothesis b Alterna

Explain the meaning of each term a) Null Hypothesis b) Alternative hypothesis e) Test statistic d) Significance level

Solution

Null Hypothesis:

A hypothesis of no difference is called null hypothesis and is usually denoted by H0 \" Null Hypothesis is the hypothesis which is tested for possible rejection under the assumption that it is true. It is very useful tool in test of significance.

Ex. If we want to find out whether the special classes after school hours has benefited the students or not. We shall set up a null hypothesis that \"H0: Special classes after school hours has not benefited the students.

Alternative Hypothesis:

Any hypothesis, which is complementary to the null hypothesis, is called an alternative hypothesis, usually denoted by H₁.

For example, if we want to test the null hypothesis that the population has a specified mean ?₀,

i.e., Step 1: null hypothesis H₀: ? =?₀ then

2. Alternative hypothesis may be

i) H₁ :? ? ?₀ (ie ? >?₀ or ? <?₀)

ii)H₁ : ? >?₀

iii)H₁ :? <?0

The alternative hypothesis in (i) is known as a two