This problem is the check to see whether you understand the Iiisquared test. There are only 2 test columns, so you cannot use the Xsquared Goodness of Fit applet from the previous problem as it requires 3 or more test intervals. You are told that a bag contains red and black marbles which are in a ratio of 3:2. You test this claim by drawing one marble out of the bag and noting its color. Then you replace the drawn marble back into the bag and shake thoroughly. Then you draw another marble and note its color. You repeat this process Sill-[l times. You obtain 35d red marbles and lS black marbles. Using a Iiisquared test, determine whether or not your results supports the 3:2 claim. a. What is the null hypothesis for this test? b. What is the alternative hypothesis? c. Fill in the following table. d. What is the value of K2 for this data? e. What is the number of degrees of freedom? f. Use the X2 calculator to compute p {use the right tail option]. Provide a screen shot of your calculation. ht_tp:mvww. statdistclbntions.comicbisguare;Ir g. Does this value of p support the null hypo'tesis at the 5% signicance level? {yes or no and explain using your numbers)