IMF 301 is the prerequisite for IMF 412. We investigate if the grades of IMF 301 are independent of the grades of IMF 412. In a hypothetical test, 229 students, who took both IMF 301 and IMF 412, were studied. The grades are distributed in the contingency table below. Are the grades in IMF 301 and IMF 412 related? Use a=0.05 and Minitab to draw your conclusion quickly. (1) Write down the null hypothesis and the alternative hypothesis in your Word file (3 points) (2) What are the degrees of freedom? (3 points) (3) Make the screenshot of Minitab results and paste in your Word file (10 points); (4) Write down your conclusion (4 points). Please upload your answers with the Word file.

IMF 301	IMF 412
	A	B	C	Other grade
A	50	41	15	14
B	18	15	11	10
C	13	12	20	10