In: Statistics and Probability
In the week before and the week after a holiday, there were 10 comma 000 total deaths, and 4917 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. b. Based on the result, does there appear to be any indication that people can temporarily postpone their death to survive the holiday?
a)
We need to construct the 95% confidence interval for the population proportion. We have been provided with the following information about the number of favorable cases:
Favorable Cases X = | 4917 |
Sample Size N = | 10000 |
Therefore, based on the data provided, the 95% confidence interval for the population proportion is 0.482<p<0.501, which indicates that we are 95% confident that the true population proportion p is contained by the interval (0.482, 0.501)
b)
Based on the result, there does not seem to appear to be any indication that people can temporarily postpone their death to survive the holiday as 0.5 lies in the above confidence interval.
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