The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p

1

)

(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p

2

)

(p2). To test this statement, NASCAR took a random sample of 185

185 of the new racecar engines and 160

160 of the old engines. They found that 16

16 of the new racecar engines and 7

7 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.

Step1of6:State the null and alternative hypotheses for the test.

Step 2 of 6 :Find the values of the two sample proportions, p1 and p2. Round your answers to three decimal places.

Step 3 of 6 :Compute the weighted estimate ofp, _p. Round your answer to three decimal places.

Step 4 of 6 :Compute the value of the test statistic. Round your answer to two decimal places.

Step 5 of 6 :Find theP-value for the hypothesis test. Round your answer to four decimal places.

Step 6 of 6 :Make the decision to reject or fail to reject the null hypothesis.

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