Question

A pharmaceutical company claims that the use of their new supplement will prevent adults from acquiring colds. The following two-way frequency table displays the results of a study conducted to test the company's claim. Colds and Supplements Cold No Cold Total Supplement 108 122 230 No Supplement 161 115 276 Total 269 237 506 What percentage of adults were taking the supplement and had a cold? A. 47% B. 40% C. 21% D. 86%

Answer 1

21

Explanation:

PLATO

Answer 2

It can be said that 21.34% of the adults were taking the supplement and had a cold

Explanation:

General Statistics

The results of field studies usually come in the form of a set of numbers that must be organized and analyzed to take useful information out of them. The data provided in the question comes in a two-way frequency table, which we'll reproduce in a more readable format in the figure below.

We are required to calculate the percentage of adults that were taking the supplement and had a cold. By crossing the second row and the second column we get 108 adults were simultaneously taking the supplements and having a cold, thus the required percentage is computed by dividing that quantity by the total of the adults under study:

`\displaystyle (108)/(506)=\displaystyle (108)/(506)=0.2134`

It can be said that 21.34% of the adults were taking the supplement and had a cold