In: Math
Assume for a given year there is a population of 1,725,000 people, 345,000 of whom are 65 years younger. There are 22,425 live births, 13,800 deaths in all age groups from all causes, 10,350 deaths for those 65 and above, 4000 deaths from heart disease, 7000 deaths from cancer, 95 deaths among infants less than 28 days, 140 deaths among infants less than one year (including those < 28 days), and 6 deaths among pregnant mothers. Assume that there 40,000 new cases of influenza, 45,000 people have influenza at some point in time during the year. Calculate the following rates to one decimal place. (15 points)
a. crude mortality rate (per 100,000)
b. age-specific mortality rate among those 65 and above (per
100,000) c. proportionate mortality rate for cancer
a. crude mortality rate (per 100,000) = C.D>R. per 100000 ).
It is define as the ratio of the total number of death to the total number of peoples in a particular time period to the particular population multiply by some constant k.
Mathematically,
Where D = total deaths
P = total population
K = some constant
Here we need to take constant = 100000
Also here we assume for a given year there is a population of 1,725,000 people , 13,800 deaths in all age groups from all causes.
Plug these values in the formula of C.D.R. , we get.
So C.D.R. = 800
b) It is given that 345,000 of whom are 65 years younger. Therefore
Therefore, people those 65 and above = 1725000 - 345000 = 1380000
Also, 10,350 deaths for those 65 and above,
So age-specific mortality rate among those 65 and above (per 100,000) is as follows:
c. proportionate mortality rate for cancer
From the given information : 7000 deaths from cancer,
Therefore, proportionate mortality rate for cancer = 7000/1725000 = 7/1725 = 0.004058