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BUS708 Statistical Modelling Assignment - DOC

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BUS708 Statistics and Data Analysis (BUS708)

   

Added on  2020-05-28

BUS708 Statistical Modelling Assignment - DOC

   

BUS708 Statistics and Data Analysis (BUS708)

   Added on 2020-05-28

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Running Head: STATISTICAL MODELLING ASSIGNMENTStatistical Modelling AssignmentName of the StudentName of the UniversityAuthor Note
BUS708 Statistical Modelling Assignment - DOC_1
1STATISTICAL MODELLING ASSIGNMENTTable of ContentsSECTION 1....................................................................................................................................................2Introduction.............................................................................................................................................2SECTION 2....................................................................................................................................................3Preference of Lodgement Methods of Australian People........................................................................3SECTION 3....................................................................................................................................................4Preference of Lodgement Methods of International Students................................................................4SECTION 4....................................................................................................................................................6Lodgement Method and Age Group........................................................................................................6SECTION 5....................................................................................................................................................8Lodgement Method and Total Income Amount......................................................................................8SECTION 6....................................................................................................................................................9Total Income Amount and Total Deduction Amount...............................................................................9SECTION 7..................................................................................................................................................11Conclusion.............................................................................................................................................11References.................................................................................................................................................12
BUS708 Statistical Modelling Assignment - DOC_2
2STATISTICAL MODELLING ASSIGNMENTSECTION 1IntroductionIn Australia, at the end of a financial year, a tax return file is lodged by a lot of the Australiancitizens. There are two different ways in which a tax return lodgement can be made. The first one is bypaying a registered tax agent and telling them to lodge the return file for them. The other method is bylodging the tax returns by themselves (Alghamdi and Rahim 2016). The study here aims at evaluating theproportion of people who prefer the tax agents to lodge the income tax and the proportion of peoplewho prefer to do it n their own. The preference has to be assessed based on some factors such as age,income amount and deduction amount. For the purpose of this study, data is necessary. Thus, data has been collected from the websiteof the Australian Taxation Office (ATO). The dataset that will be considered for this study is actually asubset of the original dataset that has been obtained from this website. A sample of 1000 people ofAustralia has been selected from the whole dataset for this study. The dataset contains informationabout the variables such as gender, age range, lodgement methods, total income amount and totaldeduction amount. Here. In the gender column, 0 indicates male and 1 indicates female. In the columnage range, 0 indicates the person is aged more than 70 years, 1 indicates that the person is agedbetween 65 and 69 years, 2 indicates that the person is aged between 60 and 64 years, 3 indicates thatthe person is aged between 55 and 59 years, 4 indicates that the person is aged between 50 and 54years, 5 indicates that the person is aged between 45 and 49 years, 6 indicates that the person is agedbetween 40 and 44 years, 7 indicates that the person is aged between 35 and 39 years, 8 indicates thatthe person is aged between 30 and 34 years, 9 indicates that the person is aged between 25 and 29years, 10 indicates that the person is aged between 20 and 24 years and 11 indicates that the person isaged below 20 years. In the column lodgement method, A indicates tax agent and S indicates selfpreparer. Thus, these three variables are categorical variables. Again, the variables total income amountand total deduction amount are continuous numeric data. The data collected in this case is secondarydata as it is obtained from the website of ATO. The first five cases of the data is attached in table 1. Table 1: First five cases of Dataset 1There is another part to this study. In this part data has to be collected from internationalstudents about their preferences on lodgement methods of tax returns. 40 Students from differentnations studying in the Australian universities were asked this question and their responses wererecorded in the second dataset. In this case the data has been collected as a result of a survey and henceit is known as a primary data. The variable involved in this case is a categorical variable.
BUS708 Statistical Modelling Assignment - DOC_3
3STATISTICAL MODELLING ASSIGNMENTSECTION 2Preference of Lodgement Methods of Australian PeopleAt first, summary of the data on the Australian people has been conducted and it can be seenclearly from table 2 as well as figure 1 that the tax agents are given preference by 738 people out of1000 people. Thus, a very high proportion of people (73.8 percent) of Australia prefer lodging their taxreturns by hiring expert and registered tax agents. Table 2: Types of Lodgement Methods by Australian PeopleLodgement_methodFrequencyProportionA7380.738S2620.262Grand Total1000174%26%Lodgement MethodASFigure 1: Proportion of different types of Lodgement MethodsThe confidence interval for the given data has been obtained at 95 percent confidence level andis given in table 3. It can be seen from the table that the 95 percent confidence interval for theproportion of people preferring tax agents is (71.07%, 76.53%).Table 3: Confidence Interval for theproportion of people preferring Tax AgentsDataSample Size1000Count of Successes738Confidence Level95%
BUS708 Statistical Modelling Assignment - DOC_4

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