Question

Information: Flu season comes every year and it is time to look at who in our community is most likely going to get us sick. Using a representative sample of the general population in the United States, we have constructed a table that shows flu vaccination status by age group. People were categorized as vaccinated for the 2015 flu season if they received influenza vaccine between September and November of 2014. Since we are confident in the representativeness of our sample, our data can be used to calculate statistics that can be applied (with some uncertainty) to the total US population. Use the table below to answer the following questions. Please show your work.

Table 1: Flu vaccination status in a random sample (N = 10,000) of the US Population in 2015.

Vaccinated Not Vaccinated

6 months to 17 years 1,240 1,260

18 to 49 years 1,427 3,073

50 to 64 years 721 779

65 years + 1,036 464

Questions:

1. According to Table 1, what is the probability that a randomly selected individual was vaccinated for the 2015 flu season? (2 pts)

2. What is the probability that a randomly selected individual was 18 to 49 years of age? (2 pts)

3. What is the probability that a randomly selected individual was 18 to 49 years of age and vaccinated for the flu? (3 pts)

4. What is the probability that a randomly selected individual was 18 to 49 years of age or vaccinated for the flu? (3 pts)

5. Individuals from which age group have the lowest probability of flu vaccination in 2015? Hint: What is the probability of being vaccinated given each age group. (5 pts)

Answer 1