In the week before and the week after holiday, there were 10000 total deaths, and 4966 of them occurred in the week before the holiday.

a. Construct a 90% confidence interval estimate of the proportion of deaths in the week before the holiday to the deaths in the week before and the week after the holiday.

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