Number of Adults Contracting Colds

investigated the therapeutic value of vitamin C in preventing colds. A random sample of 300 adults received either a vitamin C pill or a sugar pill each day during a 2-week period, and the adults reported whether they contracted a cold during that time period. What proportion of adults who received a sugar pill reported contracting a cold?

Options

A. `11/18`
B. `11/50`
C. `9/50`
D. `11/100`

Answer

B

Explanation

A total of 150 adults received the sugar pill. Of those, 33 reported contracting a cold. Therefore, `33/150` , or the equivalent `11/50` , is the proportion of adults receiving a sugar pill who reported contracting a cold.
Choice A is incorrect. This is the proportion of adults receiving a sugar pill and contracting a cold to all adults contracting a cold (`33/54`) . Choice C is incorrect. This is the proportion of adults who reported contracting a cold to all the participants in the study `(54/300 = 9/50)` . Choice D is incorrect. This is the proportion of adults who received a sugar pill and reported contracting a cold to all the participants in the study ( `33/300=11/100`)