In: Statistics and Probability
i.Discuss why does precision of any statistical result decrease as its confidence interval increases? Would a research on the effectiveness of Covid 19 vaccine require a higher degree of precision or a higher level of confidence interval? Why?
ii. While deciding which localities in Karachi are more affected by Covid 19 pandemic, should a researcher use stratified sampling or quota sampling? Why?
iii. Fear of Covid 19 is an abstract construct. If you are required to do a quantitative research on this topic, what process will you develop to measure fear?
i. The precision decreases when confidence interval increases because the critical value of the distribution that is used to find the confidence interval increases hence the standard error also increases as a result precision decreases. A research on the effectiveness of Covid 19 vaccine would require a higher degree of precision because the number of deaths is increasing and we need to focus on that, if the higher level of the confidence interval would be considered then we will have a wider width of the confidence interval and the chances of error will be increased.
ii. We should use quota sampling because people affected by Covid 19 have specific traits.
iii. We will have to create a survey to measure fear. This survey will be developed by doctors involved in treating patients and the patients itself, also it should include the questions that ask people about their knowledge on Covid 19 like its precautions, after effect protections, etc.
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