Answer to Question #224527 in Statistics and Probability for Nuwani

Question

World Health Organization (WHO) claims that Safe and effective vaccination is considered to

be the game-changing tool against COVID-19. To test this claim you are required to design a

statistical study obtaining data from the ongoing vaccination programme against COVID-19 in

Sri Lanka.

Task 2.1

Describe how you will design a statistical study meaningfully to test on WHOs’ claim. Your

answer must include the following.

 Define population and sample

 Importance of sampling, sampling methods, sample size and how it will affect in

making inferences about the population

 Data collection methods

 Statistical measurements involved in making inferences

 Selecting the most compatible test

Answer 1

Here the Population is going to be the entire people Population of Srilanka who are eligible for Vaccination. The sample will contain all the eligible candidates from various age groups. It may include under 18 then 18-45 and 45+ candidates. Here the Sampling plays an Important role because, first of all, it saves time and money. It can be proved efficient if collected in the right manner. We cannot do the Census, and thus, Sample helps us make conclusions about the entire population. The sampling methods should be selected so that bias has to be Minimum or even zero. Variance should be more among the Sample collected because we need a representative of the entire population. The sample size should be large enough to make a stable, firm, and Conclusive decision on the Population. It depends on domain knowledge, though. Here if the sample is large and a good one, then we will be getting precise results. Data has to be collected at random, Independent, and we want data to be collected from all the age groups to have the variability. So Stratified Sampling is one method. Now here, the statistic Like proportion can come into the picture. We may try and use the Z test to check if the proportion of Covid cases in Vaccinated people is less or not.