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1.- A study carried out in the automotive field states that more than 40% of the failures in the Vehicular engines are due to problems

1.- A study carried out in the automotive field states that more than 40% of the failures in the Vehicular engines are due to problems in the cooling system. To try that A study is carried out on 70 vehicles and the critical region is defined in x < 26, where x is the number of vehicle engines that present problems in the cooling system. (use the normal approximation) a) Evaluate the probability of making a type I error, assuming that p = 0.4. b) Evaluate the probability of making a type II error, for the alternative p = 0.3.

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