A certain town is served by two hospitals. In the larger hospital, about 45 babi

Question

A certain town is served by two hospitals. In the larger hospital, about 45 babies are born each day, and inthe smaller hospital, about 15 babies are born each day. Although the overall poputalion of boys is about 50%, the actual proportion at either hospital may be greater or less than 50% on any given day. At the end of the year, which hospital will have the greater number of days on which more than 60% of the babies were boys? Explain.

a. The larger hospital b. the smaller hospital c. Neither- the number of days will be the same (within 5 percent of each other)

Explanation / Answer

here as we know from law of large number that if sample size is higher than sample proportion will have higher probability to be near to population proportion than smaller size due to reduction in std deviation.

therefore smaller hospital will have the greater number of days on which more than 60% of the babies were boys due to more variation.

option B is correct

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