1. A pump manufacturer claims that a higher proportion of her Pumpo brand pumps will be operating without repairs in 5 years than those of a competitor. Records were examined of 100 pumps of each manufacturer put into service 5 years ago. 67 of the Pumpo pumps and 62 of the competitor's pumps were found still working without repairs. What calculated value would be used to test that the proportion of Pumpo pumps operating without repairs is higher than those of the competitor? Express your answer to 3 places of decimal. Find your difference by taking the Pumpo value minus the competitor value.

2. Pump manufacturer claims that a higher proportion of her Pumpo brand pumps will be operating without repairs in 5 years than those of a competitor. Records were examined of 100 pumps of each manufacturer put into service 5 years ago. 67 of the Pumpo pumps and 62 of the competitor's pumps were found still working without repairs. What critical value would be used to test, at the 5% level of significance, that the proportion of Pumpo pumps operating without repairs is higher than those of the competitor? State your answer to 3 places of decimal. Find your difference by taking the Pumpo value minus the competitor value. (Note in real life, and on the exam, you can find your difference either way -- if you subtract one way you will be doing a right-tailed test and if you subtract the other way you will be doing a left-tailed test -- but I am asking you take the Pumpo value minus the competitor value.