Section 3 A study was conducted to determine whether engineers have a greater annual income than foresters ten years after graduation. Random samples were taken from each group with the following results (measured in $1,000's): Note that nj and n2 are large. Test your hypothesis using alpha=0.05. Annual Income, in $1000's Engineers Foresters n1 = 38 n2 = 34 X1 = 38.65 X2= 35.94 S1 = 6.4 S2 = 5.5 Answer the following questions (Part 1 to Part 5) using this description.Part 1 Which of the following statements best describes the null and alternative hypotheses? O HO: The income of engineers is greater than foresters; H1:The income of engineers is not greater than foresters. O HO: The income of engineers is the same as foresters; H1: The income of engineers is not the same as foresters O HO: The income of engineers is not greater than foresters; H1: The income of engineers is greater than foresters. HO : The income of engineers is less than foresters; H1: The income of engineers is greater than forestersPart 2 Find the standard deviation of the mean difference between engineers and foresters.Part 3 What is value of the test statistic you obtained?Part 4 What is the critical value you obtained? Hint: For one tailed tests, enter the single value. For two tailed tests, enter either value.Part5 Which of the following is the most appropriate conclusion given lhe results from Part 1 to Part 4. ' We reject the null hypothesis and conclude that the income of engineers is greater than foresters ' We fail to reject the null hypothesis. and conclude that the income of engineers is less than foresters We reject the null hypothesis and conclude that the income of engineers is not greater than foresters ' We fail to reject the null hypothesis and conclude that the income of engineers is not greater than foresters