QUESTION 2 [CLO2, 20 MARKS] A bank manager wants to know whether households who default on bank loan payment has different average income as compared to households who do not default. A study has been conducted based on existing loan borrowers and the results are presented below. Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Sig Interval of the 2- Mean Std. Error Difference Sig if tailed) Difference Difference Lower Upper Household Equal income in vanances .202 .653 1.880 698 061 5.94162 3.16088 - 26435 12.14760 thousands assumed Equal variances 1.686 267.520 .093 5-94162 3-52466 12.88122 not .99797 assumed Answer the following questions based on the situation and results as shown above: (a) Write the null and alternative hypotheses? [3 marks] (b) What is the purpose of Levene's test for Equality of Variances? [2 marks] (c) Interpret the Levene's test result, at 5% significance level. [5 marks] (d) Interpret the f-test, at 5% significance level. [5 marks]