1i. Let p be the average fraction of \"grade A" items produced by a certain company. In the past. p has been about {1.62. Of the remaining 38 percent. 3 percent were scrap and 35 percent were \"seconds." A new method is proposed that is expected to increase p. Under the new method, 250 items are produced. and 172 \"grade A\" items are found among mom. Conduct a full hymdresis test to show that the new method has increased p. Let a = 0.05. 1ii. In a study that contains a sample size of 100 teenagers, 23 of which work part time in the savice 'ndustrir, 26 temaoers work in retail. and 52 work part time in other sectors. a} Fund lire probability that a teenager works part time at only one of the two industry sectors listed above. (Draw a Venn diagram) b) Find the probability that a teenager works part time at both industry sectors listed above. (Draw a Venn diagram) c) Are the two events mutually exclusive? Whv or why not