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The University of Western Sydney Nature of Data 301114 Assignment Tharunn Kumar Sundar 19256854
1 1. Australian Prisoners The following table shows the number of prisoners in Australian prisons in 2014, broken down by age group and gender. Is there evidence that the age distribution differs by gender? Make an appropriate plot of the data. Males Females 19 years and under 1920 20 to 24 years 3684 316 25 to 29 years 5624 475 30 to 34 years 4907 483 35 to 39 years 4109 404 40 to 44 years 3756 349 45 to 49 years 2808 234 50 to 54 years 1541 135 55 to 59 years 975 60 to 64 years 595 65 years and over 681 65 72 32 27
School of Computing, Engineering and Mathematics Date : 24-05-2018 Plot : Plot 1
School of Computing, Engineering and Mathematics Date : 24-05-2018 2 Plot 2
School of Computing, Engineering and Mathematics Date : 24-05-2018 3 Plot 3 Observations from plot:[H1] It can be seen from plot 1 that the number of male and female in the sample are very different but the distribution pattern seems to look the same. For further investigation, we normalize the data into percentages and view in a stacked bar plot [plot 2]. It has be seen from plot 2 that the distribution is different but the representation isn’t very clear so we switch to a grouped bar plot shown in plot 3. Plot 3 clearly shows that the distribution is different. From the plot 3 we can assume we are going to accept H1. Analysis and Results: The data is represented into R and chi square test is conducted and the p-value calculated is 0.0004998 which is less than 0.05. so we reject the null hypothesis.
School of Computing, Engineering and Mathematics Date : 24-05-2018 4 Conclusion: Since the observed p-value is less than 0.05, we can reject the null hypothesis and accept the alternative hypothesis H 1 [Age distribution of the prisoners differs by gender].

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