1. A medical center is conducting a study to find out if charges for printing patient results has any effect on the number of print outs requested by patients. A random sample of patients showed the following data. Use it to test the claim that the number of print outs requested by patients is independent of the charges. No Charge Charged Total No print out request 125 135 260 Print out requested 75 65 140 Total 200 200 400 a. State the null hypothesis and alternative hypothesis. [3 marks, 1.5 marks each] b. Which is sampling distribution should you use, Standard normal distribution or student-t distribution or Chi square distribution? Why? [2 marks] c. Calculate the sample test statistic. [4 marks] d. Find the P-value of the test statistic. [2 mark] e. Based on your P-value, do you reject or fail to reject the null hypothesis? [1 mark] f. What conclusion do you make about result print out requests and charges? [1 mark]