In the week before and the week after a holiday there were 1

In the week before and the week after a holiday, there were 10,000 total deaths, and 4918 of them occurred in the week before the holiday. Construct a 95% confidence interval estimate of the proportion of deaths in the week before the holiday to the total details in the week before and the week after the holiday. Based on the result, does there appear to be any indication that people can temporarily postpone their death to survive the holiday? Based on the result, does there appear to be any indication that people can temporarily postpone their death to survive the holiday?

Solution

a) the reqioted 95% CI is
(0.481955, 0.501650)

b) for this problm we are test that

H0:p=0.5 against H1: p>0.5

that is after holiday the death is 0.5 or greater 0.5

so here we get p-value as 0.951

so we accept the H0

and claim hat there is 0.5 proportion of death