Question

a drug trial had 178 participants. a survey was taken to determine how many had drowsiness as a side effect and how many had anxiety as a side effect. the venn diagram below shows the results. (each number gives the number of participants who fall into that venn diagram category.) (a) how many of the participants did not have drowsiness? \\(\square\\) participants (b) how many of the participants had drowsiness or anxiety (or both)? \\(\square\\) participants (c) how many of the participants had drowsiness but did not have anxiety? \\(\square\\) participants

Explanation:

Part (a)

Step1: Identify groups without drowsiness

Participants without drowsiness are those in the "Had anxiety" only (28) and the outside region (74).

Step2: Sum the two groups

Sum = 28 + 74 = 102

Step1: Identify groups with drowsiness or anxiety

These are "Had drowsiness only" (37), "Both" (39), and "Had anxiety only" (28).

Step2: Sum the three groups

Sum = 37 + 39 + 28 = 104

Step1: Identify group with drowsiness but not anxiety

This is the "Had drowsiness" only category, which is 37.

Answer:

102

Part (b)