Question: Management at Pace auto factory decided to do a study to see whether the number of defective autos produced is independent of the day of the week on which the major assembly takes place. A random sample of 242 autos showed the following data. Use a chi-square test to determine if the day of the week and number of defective autos are independent. Use a 5% level of significance. Be sure to give your computed \({{\chi }^{2}}\) value and the value determining the critical region along with your conclusion.