We wish to test the hypothesis H0:  p1-p2 = 0 versus the hypothesis H1: p1 - p2  0 at a 5% level of significance.  Here, p1 denotes, of all bolts manufactured on Machine A, that fraction that are defective, and p2 denotes, of all bolts manufactured on Machine B, that fraction which consists of defective bolts.  In order to test these hypotheses, we obtain a random sample of 400 bolts manufactured on Machine A, and independently, we obtain a random sample of 400 bolts from Machine B.  Of the bolts from the Machine A  sample, we find that 20 are defective, whereas for the Machine B sample we find that 40 are defective.  Compute the p-value.

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We wish to test the hypothesis H0:  p1-p2 = 0 versus the hypothesis H1: p- p2  0 at a 5% level of significance.  Here, p1 denotes, of all bolts manufactured on Machine A, that fraction that are defective, and p2 denotes, of all bolts manufactured on Machine B, that fraction which consists of defective bolts.  In order to test these hypotheses, we obtain a random sample of 400 bolts manufactured on Machine A, and independently, we obtain a random sample of 400 bolts from Machine B.  Of the bolts from the Machine A  sample, we find that 20 are defective, whereas for the Machine B sample we find that 40 are defective.  Compute the p-value.

 
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