Laboratory assistants uses TemA air filter to keep fermenters sterile during operation. TemX filters have success rate of 0.90, so 90% of the fermentations are not contaminated. The scientists would...

Laboratory assistants uses TemA air filter to keep fermenters sterile during operation. TemX filters have success rate of 0.90, so 90% of the fermentations are not contaminated. The scientists would like to test a new air filter, TemY, and compare its probability of success with TemX. Out of 120 test fermentations made using TemY only 9 were contaminated. Perform a hypothesis test to decide if probability of success of TemY is significantly higher than that of TemX, use α = 0.01