Statistics and Data Analysis Statistical Modelling Assignment

OVERVIEW OF THE ASSIGNMENT - This assignment will test your skill to collect and analyse data to answer a specific business problem. It will also test your understanding and skill to use statistical methods to make inferences about business data and solve business problems, including constructing hypotheses, test them and interpret the findings.

TASK DESCRIPTION: WRITTEN REPORT - There are two datasets involved in this assignment: Dataset 1 and Dataset 2, (attached).

Prepare a report in a document file (.doc or .docx) which includes all relevant tables and figures, using the following structure:

1. Section 1: Introduction

a. Give a brief introduction about the assignment, and include a short summary of a related article with a proper citation.

b. Dataset 1: Give a short description about this dataset. Is this primary or secondary data? What types of variable(s) is involved? Display the first 5 cases of your dataset.

c. Dataset 2: Explain how you collect the data and discuss whether your sample is biased. Is this primary or secondary data? What type of variable(s) is/are involved? You don't need to display your data in this section.

2. Section 2: Lodgement Method - Dataset 1

Use Dataset 1

a. Using suitable graphical displays, describe the variable lodgement method for Dataset 1.

b. Calculate a 95% confidence interval of the proportion of tax payers who lodge the tax return by using an Agent.

c. Give a short comment about your finding.

3. Section 3: Lodgement Method - Dataset 2

Use Dataset 2

a. Using suitable graphical displays, describe the variable lodgement method for Dataset 2.

b. Calculate a 95% confidence interval of the proportion of tax payers who lodge the tax return by using an Agent.

c. Compare this result with the result in Section 2 and make a comment whether there is a difference between dataset 1 and dataset 2 in terms of lodgement method.

4. Section 4: Lodgement Method and Age Group

Use Dataset 1

a. Describe the relationship between the age group and lodgement method using suitable graphical display and numerical summary.

b. Perform a suitable hypothesis test at a 5% level of significance to test whether the two variables are associated.

c. Give a short comment about your finding.

5. Section 5: Lodgement Method and Total Income Amount

Use Dataset 1

a. Describe the relationship between total income and lodgement method using suitable graphical display and numerical summary.

b. Provide a comment about your result in part a (include a comment about the shape of the distribution, centre, spread and outliers).

6. Section 6: Total Income Amount and Deduction Amount

a. Describe the relationship between total income and total deduction using suitable graphical display and numerical summary, for each type of lodgement method.

b. Provide a comment about your result in part a.

7. Section 7: Conclusion

a. What can you conclude from your findings in the previous sections?

b. Give a suggestion for further research

TASK DESCRIPTION: PRESENTATION/INTERVIEW - You do NOT need to prepare a presentation material (e.g. power-point slides), instead, you will be asked to demonstrate and/or explain how you summarised the data and how you performed the analysis. You may be asked to replicate what you have made in your written report (e.g. generate a chart or numerical summary using Excel or Statkey).

Attachment:- Assignment File.rar