A total population of 4,185 people are being observed in a five-year study measuring incidence of prostate cancer.• 38 prostate cancer cases were confirmed at the end of year 1. •17 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 2. •52 additional cases were confirmed at the end of year 3. •19 additional cases were confirmed and 10 men had withdrawn from the study at the end of year 4. •30 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 5.What is the incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years?

Answer:The incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years is 7.469Step-by-step explanation:Consider the provided information.It is given that 38 prostate cancer cases were confirmed at the end of year 1 and the total population was 4,185.As we need to find the incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years, thus 4185/1000 = 4.185Thus, the incident rate is: Number of new case/ population of study in 1000.[tex]\frac{38}{4.185}=9.080[/tex]17 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 2. That means total population is 4185-5=4180Thus, the incident rate is:[tex]\frac{17}{4.180}=4.067[/tex]52 additional cases were confirmed at the end of year 3. Thus, the incident rate is:[tex]\frac{52}{4.180}=12.44[/tex]19 additional cases were confirmed and 10 men had withdrawn from the study at the end of year 4.Thus, the incident rate is:[tex]\frac{19}{4.170}=4.556[/tex]30 additional cases were confirmed and 5 men had withdrawn from the study at the end of year 5.Thus, the incident rate is:[tex]\frac{30}{4.165}=7.203[/tex]The average expressed in terms of 1000 person-years[tex]\frac{9.080+4.067+12.44+4.556+.203}{5}=\frac{37.346}{5}=7.469[/tex]Hence, the incidence rate of prostate cancer in this population, expressed in terms of 1000 person-years is 7.469