Question

unit 3 recovery points
for this problem (#5), you may complete only the parts that you missed points on in order to receive recovery points on this question on the unit 5 assessment.

1. a student surveyed 100 adults who took either vitamin c or zinc supplements to prevent getting a cold. the adults were asked if they had a cold or no cold in the last 30 days. the results are shown in the table.

	no cold	cold	total
zinc	11	29	40
total	63	37	100

a. what percentage of adults in the survey took zinc supplements?
b. what fraction of adults who took vitamin c reported having a cold?
c. is there a possible association between which vitamin was taken and whether they got a cold? show on the table and explain how you know.

Explanation:

Part a

Step1: Identify total and zinc total

Total adults: 100, Zinc - taking adults: 40.

Step2: Calculate percentage

Percentage = $\frac{40}{100} \times 100\% = 40\%$

Step1: Identify vitamin C total and cold in vitamin C

Vitamin C - taking adults: 60, Cold in vitamin C: 8.

Step2: Find fraction

Fraction = $\frac{8}{60} = \frac{2}{15}$

Step1: Calculate cold percentages for each

Vitamin C: $\frac{8}{60} \approx 13.33\%$, Zinc: $\frac{29}{40} = 72.5\%$

Step2: Compare percentages

72.5% (Zinc) ≠ 13.33% (Vitamin C), so association exists.

Answer:

40%

Part b