The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1) , will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2) . To test this statement, NASCAR took a random sample of 225225 of the new racecar engines and 215215 of the old engines. They found that 2727 of the new racecar engines and 1616 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of =0.05=0.05 for the test.

Step2of6:

Find the values of the two sample proportions, p1p^1 and p2p^2 . Round your answers to three decimal places.