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# How to calculate confidence interval for the proportion

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In the week before and the week after a holiday, there were 10,000 total deaths, and 4972 of them occurred in the week before the holiday.

a.) Construct a 95% confidence interval estimate of the proportion of deaths in the week before the holiday to the total deaths in the week before and the week after the holiday.
______ <p < _______ (Round to three decimal places.)

b.) Based on the result, does there appear to be any indication that people can temporarily postpone their death to survive the holiday?

1.) Yes, because the proportion could not easily equal 0.5. The interval is substantially less than 0.5 the week before the holiday.
2.) No, because the proportion could easily equal 0.5. The interval is not less than 0.5 the week before the holiday.

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This solution provides detailed explanation how to find the confidence interval for the proportion

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Hi there,

This is a Binomial setting: p=the proportion of death in the week before the holiday. X=4972 out of 10,000. So p=0.4972.
Then 1.96 square root ...

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