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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

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 175175 of the new racecar engines and 195195 of the old engines. They found that 1515 of the new racecar engines and 88 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 =0.1=0.1 for the test.

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Find the P-value for the hypothesis test. Round your answer to four decimal places.

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