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Sep 24, 2020 at 18:30 comment added whuber @user257566 In the sense that there exist many valid confidence interval procedures in this setting, there is no single best one. But my use of the word "correct" was intended in the sense of this is the very one the OP requested by their use of poisson.test, that's all.
Sep 24, 2020 at 18:27 comment added user257566 Why does the correct confidence interval have the same mass is each tail? Hahn and Meeker have 2 paragraphs in their section 2.7 discussing it, but it's light on details.
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