in a study, 1,085 out of 2,321 people did not receive a flu vaccination. 465 people were vaccinated and…
in a study, 1,085 out of 2,321 people did not receive a flu vaccination. 465 people were vaccinated and tested positive for the flu. a total of 1,371 participants tested negative. create a two - way table for this scenario.\n465 771 1,236 485 600\n1,085 950 1,371 2,321\npositive negative total\nvaccinated\nnot vaccinated\ntotal
Answer
Explanation:
Step1: Find number of vaccinated people
The total number of people is 2321, and 1085 did not receive a flu - vaccination. So the number of vaccinated people is $2321 - 1085=1236$.
Step2: Find number of vaccinated and negative
We know 465 vaccinated people tested positive. Since there are 1236 vaccinated people in total, the number of vaccinated and negative is $1236 - 465 = 771$.
Step3: Find number of not - vaccinated and positive
The total number of positive cases can be found by subtracting the number of negative cases (1371) from the total number of participants (2321). So the total number of positive cases is $2321-1371 = 950$. Since 465 of the positive cases are vaccinated, the number of not - vaccinated and positive is $950 - 465=485$.
Step4: Find number of not - vaccinated and negative
We know 1085 people were not vaccinated. Since 485 of the not - vaccinated people tested positive, the number of not - vaccinated and negative is $1085 - 485 = 600$.
Answer:
| Positive | Negative | Total | |
|---|---|---|---|
| Vaccinated | 465 | 771 | 1236 |
| Not Vaccinated | 485 | 600 | 1085 |
| Total | 950 | 1371 | 2321 |