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...

Extracted text: 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 (approximating 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 > c for some c. Round your answers to three decimal places.) What are the error probabilities for n = 10? In USE SALT P-value = B(0.3) = Can n = 10 be used? O It is not possible to usen = 10 because there is no value of X which results in a P-value < 0.1.="" o="" it="" is="" not="" possible="" to="" use="" n="10" because="" it="" results="" in="" b(0.3)=""> 0.1. O It is not possible to use n = 10 because it results in B( ) < 0.1.="" o="" it="" is="" possible="" to="" use="" n="10" because="" both="" the="" p-value="" and="" b(0.3)="" are="" less="" than="" 0.1.="" o="" it="" is="" possible="" to="" use="" n="10" because="" both="" the="" p-value="" and="" b(0.3)="" are="" greater="" than="" 0.1.="" what="" are="" the="" error="" probabilities="" for="" n="20?" p-value="">


Extracted text: What are the error probabilities for n = 25? P-value %3D B(0.3) =