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6. A college announces that only 10% of students are under probation. To test this, we set the rule that if there are greater than

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6. A college announces that only 10% of students are under probation. To test this, we set the rule that if there are greater than 4 from 20 randomly selected students, we will accept the claim that more than 10% are under probation. a) Find the probability of type I error. b) Find the probability of type II error if 20% of students are under probation. c) Which condition gives higher power of the test: 20% of students are under probation or 30% are under probation. d) Randomly select 784 students, we found that 84 students are under probation with a level of signicance of 0.05. What should we say about the college claim

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