Question

The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1) ( p 1 ) , will be no higher than the proportion of engine failures due to overheating of the old engines, (p2) ( p 2 ) . To test this statement, NASCAR took a random sample of 175 175 of the new racecar engines and 185 185 of the old engines. They found that 16 16 of the new racecar engines and 8 8 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 α=0.05 α = 0.05 for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1 p ^ 1 and pˆ2 p ^ 2 . Round your answers to three decimal places.

rest of the steps

Answer 1

As,p-value < 0.05, we reject the null hypothesis.

Conclusion:

Reject the null hypothesis. NASCAR has sufficient evidence at the 0.05 level of significance to reject the racecar engine manufacturer's claim.