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The proportion of all births in the United States that were Caesarian deliveries in 2002 was 0.26. One particular county found that 35,600 of its 143,000 births were Caesarian that year, and so . A test of H0 : p 0.26 against Ha : p  0.26 produces z = +9.48 and so the P-value is 0.000, which is very small. Does this mean proportion of Caesarians in that county is very different from 0.26, or that we have very strong evidence that this county's proportion of Caesarians does not conform to the national rate of 0.26?

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