Question

Explain the following:

• Concepts of Hypothesis Testing
• Hypotheses Test for a population mean
• Hypothesis test for a population proportion
• Test of normality
• Chi-Square Test for Independence

Answer 1

Concept of hypothesis testing- It is not a rocket science, it is very simple to understand if i say in layman terms it is the assumption that we set for entire population by using the sample we have collected.

From sample data we set some assumption about the parameters and on behalf of that take decision regarding entire population.

Hypothesis test for a population mean- It is as similar as i have defined above the only thing is that here our parameter about population is the population mean which we do know and we are going to take some decision about the entire population by using hypothesis testing for a population mean.

Hypothesis test for a population proportion- Proportion is also one of the parameter which represent the dataset we have present in our hand. Now by using that proportion value we do some hypothesis testing so that we get to know more about our population and take some decision by using the proportion parameter we have in population and sample. We always set population parameter in hypothesis testing for population proportion so that by using proportion of population and sample proportion we come to decision that the estimated porportion we have about the population is acceptable or not.

Test of normality- It is simply a test which is used to perform to check the normality of the distribution, either the dataset follows the normal distribution or not.

There are many tests by which we can check the normality like K-S test, Shapiro-Wilk test, using skewness and kurtosis, using Q-Q plot etc.

Chi-Square test for independence- This test is used to check that is there any relationship exist between the two categorical variables or not.