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1. A teacher gives ten true or false questions and assumes that a student takes a wild guess. To test the hypothesis, she sets the

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1. A teacher gives ten true or false questions and assumes that a student takes a wild guess. To test the hypothesis, she sets the following rules: i. If there are greater or equal to 7 correct answers, the student does not take a wild guess. ii. If there are Less than seven correct answers, then the student takes a wild guess. Find the probability of type I error and the probability of type II error if the actual probability of choosing the correct answer is 0.7

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