You want to compare two manufacturing processes. From a previous student, we believe the defective proportion in the first process to be somewhere around 0.1 and the defective proportion in the second process to be around 0.15. We want to know whether the defective rates are different between the two manufacturing processes. We desire a power of at least 80% and a 10% significance level. a) How many products do we need in each group to run this experiment within these parameters? (3 pts) b) All other things being the same, what is the sample size needed if we want to know whether the defective rate from the first process is smaller than that from the second manufacturing process? (3 pts)