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BUS708 Statistics and Data Analysis
Inferential Statistics Report
Assignment 2 (Assessment 4) – Individual Word Report – Trimester 2, 2020
This assignment will test your skill to present and summarise data as well as to make basic statistical
inferences in a business context. You will use the results and any feedback given in Assignment 1
(Assessment 3, Excel Report) and produce a single report in a word document. You will need to
construct interval estimates, perform suitable hypothesis tests and regression analysis, and make
conclusion and suggestion for management action.
Your report should be written in a word document and should be submitted to Turnitin following the
requirement explained below.
There are two datasets involved in this assignment: Dataset 1 and Dataset 2, which are the same
datasets used in Assignment 1 (Excel Report). Please refer to Assignment 1 Description for the
details about these datasets. All data processing and calculation should be performed in Excel or
Statkey (, hence you should not use a statistical table to find
critical value or p-value. Specific instruction as to which computer tools should be used for each
section will be given during tutorials.
Your tasks are to answer the following research questions given in Section 2 to Section 6 below using
dataset 1 or dataset 2 as indicated in each section. To answer each question, you will need to first
present the relevant numerical summary (summary statistics) and graphical display and perform
suitable statistical analysis to make inferences and to provide a conclusion.
Your tasks are described below.
1. Section 1: Introduction
Provide a brief and clear introduction about the report (e.g. the objective of the
report, the datasets involved, etc.). Find 1-3 articles (minimum one article, maximum
three articles) which are relevant to any of the research questions (given in Section 2
– Section 6) and write a proper literature review. Your literature review should include
in-text citation and you will need to add a reference list at the end of your report.
2. Section 2: Did around 25% of taxpayers in 2013-2014 self-prepare their tax return?
Using Dataset 1, first provide both numerical summary and graphical display that
easily shows the proportion of each lodgement method.
Then, construct a 95% confidence interval of the population proportion of Selfpreparer lodgement method.
Finally, answer the research question using the confidence interval.
3. Section 3: Is the average salary of taxpayers in 2013-2014 less than $45,000?
Using Dataset 1, first describe the salary amount distribution of Australian taxpayers
in 2013-2014. You need to provide numerical summary (sample size, mean, standard
deviation and median) as well as graphical display which shows any outliers.
Then perform a suitable hypothesis test to answer the research question above at
5% level of significance.
4. Section 4: For the total income between 75000 – 80000, is there a difference in the total
deduction between different lodgement method?
Using Dataset 1, , first filter the total income to include only the income between
$75,000 to $80,000 (inclusive). Then provide the numerical summary for the total
deduction grouped by different lodgement method. You also need to provide
graphical display which shows any outliers.
Then, perform a suitable hypothesis test to answer the research question above.
Use a 5% significance level.
5. Section 5: Is there any relationship between total income amount and total deduction
amount for self-preparer?
Using Dataset 1, first filter the data to include only self-prepare lodgement method,
then describe the relationship between total income amount and total deduction
amount using a suitable graph.
Then, perform a regression analysis and provide the numerical summary.
Finally, interpret the correlation coefficient, the coefficient of determination and the
relevant p-values and use them to answer the research question.
6. Section 6: Is there a relationship between the gender of international students and
whether they would use a tax agent?
Using Dataset 2, describe the relationship between the gender of international
students and whether they would use a tax agent. You need to provide both
numerical summary and graphical display.
Then, perform a suitable hypothesis test to answer the research question above.
Use a 5% significance level.
7. Section 7: Conclusion
Write a summary of all the findings in the previous sections and then write
concluding statements that would benefit a stake holder (e.g. tax agents, tax payers)
to take management action.
Finally, suggest further research by discussing an interesting topic or a research
question that can be further explored related to the datasets and/or the findings.
Deadline to submit the report: the end of Week 11 – Sunday, 27th September 2020, 23:59 (11:59pm)
You need to submit a word document file to Turnitin which shows all computer outputs (numerical
summary & graphs) and discussion. You do not need to submit the dataset. You do not need to
submit the Excel file.
Students are advised to read the marking rubric provided on Moodle as well as detailed marking
criteria based on this rubric.
Late submission penalty: – 5% of the total available marks per calendar day unless an extension is
approved. This means 0.75 marks (out of 15 marks) per day.
For extension application procedure, please refer to Section 3.3 of the Subject Outline. Please do
NOT email the lecturer or tutor to seek an extension, you need to follow the procedure described in
the Subject Outline. The form to apply for an extension can be found on Moodle
Please read Section 3.4 Plagiarism and Referencing, from the Subject Outline. Below is part of the
“Students plagiarising run the risk of severe penalties ranging from a reduction through to 0 marks for a first
offence for a single assessment task, to exclusion from KOI in the most serious repeat cases. Exclusion has
serious visa implications.”
“Authorship is also an issue under Plagiarism – KOI expects students to submit their own original work in both
assessment and exams, or the original work of their group in the case of a group project. All students agree to a
statement of authorship when submitting assessments online via Moodle, stating that the work submitted is
their own original work.
The following are examples of academic misconduct and can attract severe penalties:
• Handing in work created by someone else (without acknowledgement), whether copied from another
student, written by someone else, or from any published or electronic source, is fraud, and falls under
the general Plagiarism guidelines.
• Students who willingly allow another student to copy their work in any assessment may be considered
to assisting in copying/cheating, and similar penalties may be applied. ”


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