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 competitors pumps were found still working without repairs. Whatcritical valuewould be used to test, at the 5% level of significance, that the proportion of Pumpo pumps operating without repairs ishigher thanthose 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 because Moodle is not flexible enough to recognize the alternate correct answer.)