8. Consider the chance process of drawing 100 times with replacement from a box filled with tickets: 14 labeled 0 and 11 labeled 1, and then calculating the sum of the 100 draws. Rather than carrying out this chance process repeatedly in reality, a student decides to save some time and write a computer program to do the task. The probability histogram of the values the computer program produces should match the probability histogram for the real-life random process described. The student checks the program by running it 500 times. The average of the 500 numbers outputted by the program is 45. Is the student's program working correctly? Or is there something wrong? Circle one, and show all your work to justify your answer below. Hint: You have not yet seen a problem like this. First, see if you can make a box model for the output of running the program once, assuming it is working fine. Then, what does this tell you about the probability histogram for the sample average from running it 500 times? Now see if you can evaluate the strength of the evidence against the program working fine using a test of significance