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According to Gartner Inc., the largest share of the worldwide PC market is held by Hewlett-Packard with 18.4%. Suppose that a market researcher believes that Hewlett Packard holds a higher share of the market in the northern region of Europe. To verify this theory, he randomly selects 428 people who purchased a personal computer in the last month in the northern region of Europe. Eighty-four of these purchases were Hewlett-Packard computers. Using a 1% level of significance, test the market researcher’s theory. What is the probability of making a Type I error? If the market share is really 0.21 in the north-west region of Europe, what is the probability of making a Type II error?