he power takeoff driveline on tractors used in agriculture is a potentially serious hazard to operators of farm equipment. The driveline is covered by a shield in new tractors, but for a variety of reasons, the shield is often missing on older tractors. Two type of shields are the bolt-on and the flip-­ up. It was believed that the bolt-on shield was perceived as a nuisance by the operators and deliberately removed, but the flip-up shield is easily lifted for inspection and maintenance and may be left in place. In a study initiated by the National Safety Council of the U.S., a sample of older tractors with both types of shields was taken to see what proportion were removed. Of 183 tractors designed to have bolt-on shields, 35 had been removed. Of the 136 tractors with flip-up shields, 15 were removed. We wish to test the hypothesis H: Pb= PJ vs A: Pb ≠ f. Pl where Pb and Pꬵ are the proportion of tractors with the bolt-on and flip-up shields removed, respectively. The test-statistic is computed to be 1.97. The p-value is:

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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The power takeoff driveline on tractors used in agriculture is a potentially serious hazard to operators of farm equipment. The driveline is covered by a shield in new tractors, but for a variety of reasons, the shield is often missing on older tractors. Two type of shields are the bolt-on and the flip-­ up. It was believed that the bolt-on shield was perceived as a nuisance by the operators and deliberately removed, but the flip-up shield is easily lifted for inspection and maintenance and may be left in place. In a study initiated by the National Safety Council of the U.S., a sample of older tractors with both types of shields was taken to see what proportion were removed. Of 183 tractors designed to have bolt-on shields, 35 had been removed. Of the 136 tractors with flip-up shields, 15 were removed. We wish to test the hypothesis H: Pb= PJ vs A: Pb ≠ f. Pl where Pb and Pꬵ are the proportion of tractors with the bolt-on and flip-up shields removed, respectively. The test-statistic is computed to be 1.97. The p-value is:

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