A fabric manufacturers believes that the proportion of orders for raw material arriving late is p=0.6. If a random sample of 50 orders are selected and the critical region is defined to be x  24, where x is the number of orders in the sample that arrived late. The hypothesis that p=0.6 should be rejected in favor of the alternative p < 0.6. Use the normal distribution, I) Find the probability of commuting a type I error if the true proportion is p = 0.6. II) Find the probability of commuting a type II error for the alternative = 0.3