Question 1 Consider the variable “Earnings” (i.e. Earnings: Cyprus) in the dataset. You have learned how to use SPSS to create bar charts, pie charts, histograms or box plots to show the distribution of variables. (a) Choose a suitable graphical method from the above methods and use it to show the distribution of the variable “Earnings”. Please include both the graph and the frequency table obtained from SPSS as part of the answer. [Marks 10] (b) Using the answer obtained in part (a), calculate the percentage of people in the sample whose annual income is between €600 and €1200. Make sure to provide calculation details. [Marks 5] Question 2 Consider the variables “Earnings” (i.e. Earnings: Cyprus) and “sex” (i.e. R: Gender) in the dataset. You are interested in whether the average annual income of men and women in Cyprus is the same. (a) Choose an appropriate t-test (one sample t-test, independent samples t-test or paired samples t-test) and use SPSS to perform the test. Please include the test result table obtained from SPSS as part of the answer. [Marks 10] (b) Using the answer obtained in part (a), test whether the average annual income of men and women in Cyprus is the same at the 5% level of significance. Make sure to provide details of the analysis. [Marks: 15] Question 3 Consider the variables “Earnings” (i.e. Earnings: Cyprus) and “sex” (i.e. R: Gender) in the dataset. You are interested in whether the income distribution of men and women in Cyprus is the same. (a) Choose an appropriate non-parametric test (Mann-Whitney U test, Wilcoxon Singed Rank test or Kruskal-Wallis test) and use SPSS to perform the test. Please include the Hypothesis Test Summary table obtained from SPSS as part of the answer. [Marks 10] (b) Using the answer obtained in part (a), test whether the income distribution of men and women in Cyprus is the same at the 1% level of significance. Make sure to provide details of the analysis. [Marks 10] Question 4 Consider the variables “Earnings” (i.e. Earnings: Cyprus) and “sex” (i.e. R: Gender) in the dataset. You are interested in the correlation between the two variables. (a) Use SPSS to calculate the Pearson’s correlation coefficient r between the two variables. Please include the table obtained from SPSS as part of the answer. [Marks 10] (b) Using the answer obtained in part (a), test whether the correlation between the two variables is significant at the 1% level of significance. Make sure to provide details of the analysis. [Marks 10] Question 5 Consider the variables “Earnings” (i.e. Earnings: Cyprus) and “age” (i.e. R: Age) in the dataset. You are interested in whether age affects the annual income of people in Cyprus. (a) Estimate a simple linear regression model by using SPSS, where the dependent variable is “Earnings” and the independent variable is “age”. Please include the Coefficients table obtained from SPSS as part of the answer. [Marks 10] (b) Using the answer obtained in part (a), test whether age affects the annual income of people in Cyprus at the 5% level of significance. Make sure to provide details of the analysis. [Marks 10]
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