# Question: A machine is considered to be operating in an acceptable

A machine is considered to be operating in an acceptable manner if it produces 0.5% or fewer defective parts. It is not performing in an acceptable manner if more than 0.5% of its production is defective. The hypothesis Ho: p = 0.005 is tested against the hypothesis Ha: p > 0.005 by taking a random sample of 50 parts produced by the machine. The null hypothesis is rejected if two or more defective parts are found in the sample. Find the probability of the type I error.

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