Question

a drug trial had 133 participants. a survey was taken to determine how many had anxiety as a side effect and how many had nausea 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 nausea? participants (b) how many of the participants had both anxiety and nausea? participants (c) how many of the participants had anxiety or nausea (or both)? participants

Explanation:

Step1: Calculate no nausea count

Add only anxiety + no symptoms: $36 + 17 = 53$

Step2: Identify both symptoms count

Use overlapping region value: $26$

Step3: Calculate anxiety or nausea count

Sum all symptom regions: $36 + 26 + 54 = 116$

Answer:

(a) 53 participants
(b) 26 participants
(c) 116 participants