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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 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 125125 of the new racecar engines and 135135 of the old engines. They found that 88 of the new racecar engines and 55 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=0.05α=0.05 for the test.
Find the P-value for the hypothesis test. Round your answer to four decimal places.
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- Suppose Kathy bought a large bag of candy that comes in 4 flavors: cherry, strawberry, orange, and lemon. Out of the 84 pieces of candy 23 were cherry, 24 were strawberry, 21 were orange, and 16 were lemon. Kathy performed a chi-square GOF test to determine if the flavors were evenly distributed. What flavor contributed the most to the chi-square test statistic?arrow_forwardAn airline claims that luggage is rarely lost (does not arrive at the destination at the same time as the passenger). The airline claims that if luggage is lost, in 87% of cases the airline is able to recover and deliver the luggage within 24 hours. A consumer watchdog group found a random sample of 125 people whose luggage was lost and found that 99 of them had their luggage recovered and returned within 24 hours. The Sample proportion p-hat is 99/125 = 0.792. The watchdog group wants to perform a hypothesis test against the claim that the airline is able to recover 87% of lost luggage in 24 hours. What is the appropriate conclusion for this hypothesis test? a. Reject H0. The data provide evidence that the airline is able to recover 87% of lost luggage within 24 hours. b. Reject H0. The data provide evidence that the airline does not recover 87% of lost luggage within 24 hours. c. Do Not Reject H0. The data do not provide evidence that the airline does not recover 87% of lost…arrow_forwardThe manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 135 of the new racecar engines and 175 of the old engines. They found that 14 of the new racecar engines and 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=0.01 for the test. Step 2 of 6 : Find the values of the two sample proportions, p^1 and p^2. Round your answers to three decimal places.arrow_forward
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