Question

1. a student surveyed 100 adults who took either vitamin c, zinc, or echinacea 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	12	5	17
echinacea	21	6	27
total	74	26	100

a. what proportion of adults in the survey took vitamin c?

b. what proportion of adults who took echinacea reported having no cold in the last 30 days?

c. what proportion of adults who reported having no cold took vitamin c ?

Explanation:

Step1: Find Vitamin C taker proportion

$\text{Proportion} = \frac{\text{Total Vitamin C takers}}{\text{Total surveyed}} = \frac{56}{100} = \frac{14}{25} = 0.56$

Step2: Find Echinacea no-cold proportion

$\text{Proportion} = \frac{\text{Echinacea no cold}}{\text{Total Echinacea takers}} = \frac{21}{27} = \frac{7}{9} \approx 0.78$

Step3: Find no-cold Vitamin C proportion

$\text{Proportion} = \frac{\text{Vitamin C no cold}}{\text{Total no cold}} = \frac{41}{74} \approx 0.55$

Answer:

a. $\frac{14}{25}$ or 0.56
b. $\frac{7}{9}$ or approximately 0.78
c. $\frac{41}{74}$ or approximately 0.55