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A study was made to identify characteristics of children presenting at two hospitals (Casey and Clayton)...

A study was made to identify characteristics of children presenting at two hospitals (Casey and Clayton) suffering accidental poisoning. Patients aged under 13 and admitted to the emergency department of one of the hospitals over a certain period were included in the study.

Of the 1399 patients admitted to Clayton hospital, the source of the poison in 597 cases was household cleaning products while of the 1155 patients admitted to Casey hospital, household cleaning products was the source in 437 cases.

What is the lower bound in a 95% confidence interval for the true difference in the proportions of children accidentally poisoned with household cleaning products between the two hospitals?

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