J 8) The business college computing center wants to determine the proportion of business students who have personal computers (PCs) at home. If the proportion exceeds 35%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 85 have PCs at home. Find the rejection region for this test using a = 0.10. 9) A survey claims that 9 out of 10 doctors (i.e., 90%) recommend brand 2 for their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand Z is less than 90%, a random sample of 100 doctors results in 83 who indicate that they recommend brand 2. Determine the test statistic for this problem {round to the nearest hundredth). 10] Fifty percent of registered voters in a congressional district are registered Democrats. The Republican candidate takes a poll to assess his chances in a two-candidate race. He polls 1200 potential voters and nds that 621 plan to vote for the Democratic candidate. Does the Republican candidate have a chance to win? Use a = 0.05