What are the answers for question 2?

2 -19 POINTS DEVORESTAT9 8.E.051. MY NOTES ASK YOUR TEACHER A manufacturer of plumbing fixtures has developed a new type of washerless faucet. Let p = P(a randomly selected faucet of this type will develop a leak within 2 years under normal use). The manufacturer has decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as 0.10. The manufacturer decides to subject n of these faucets to accelerated testing (approximationg 2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if p = 0.10, the probability of not proceeding should be at most 0.10, whereas if p = 0.30 the probability of proceeding should be at most 0.10. (Assume the rejection region takes the form reject Ho if X 2 c for some c. Round your answers to three decimal places.) What are the error probabilities for n = 10? P-value = B(0.3) = Can n = 10 be used? It is not possible to use n = 10 because there is no value of X which results in a P-value 0.1. It is not possible to use n = 10 because it results in B(0.3) 0.1. It is not possible to use n = 20 because it results in B(0.3)