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Question
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. the numbers provided are: 465, 771, 1,236, 485, 600, 1,085, 950, 1,371, 2,321. the two - way table has columns: positive, negative, total and rows: vaccinated, not vaccinated, total.
Step1: Find Vaccinated Total
Total people: 2321. Not vaccinated: 1085. So vaccinated = 2321 - 1085 = 1236.
Step2: Vaccinated Negative
Vaccinated total: 1236. Vaccinated positive: 465. So vaccinated negative = 1236 - 465 = 771.
Step3: Not Vaccinated Negative
Total negative: 1371. Vaccinated negative: 771. So not vaccinated negative = 1371 - 771 = 600.
Step4: Not Vaccinated Positive
Not vaccinated total: 1085. Not vaccinated negative: 600. So not vaccinated positive = 1085 - 600 = 485.
Step5: Total Positive
Vaccinated positive: 465. Not vaccinated positive: 485. So total positive = 465 + 485 = 950.
Step6: Verify Totals
Total positive: 950, total negative: 1371, total: 950 + 1371 = 2321 (matches). Vaccinated total: 1236, not vaccinated: 1085, total: 1236 + 1085 = 2321 (matches).
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| Positive | Negative | Total | |
|---|---|---|---|
| Not Vaccinated | 485 | 600 | 1085 |
| Total | 950 | 1371 | 2321 |