Answer:
a. 113/338
b. The relative frequency distribution is presented as follows;
St. John's wort Zoloft Placebo
Full response 27/91 27/91 37/91
Partial response 16/55 26/55 13/55
No response 35/96 7/24 11/32
c. 29.67%
Step-by-step explanation:
a. The proportion of subjects assigned to take St. John wort is found as follows;
The total number of subjects = 27 + 27 + 37 + 16 + 26 + 13 + 70 + 56 + 66 = 338 subjects
The number of subjects assigned to take St. John wort = 27 + 16 + 70 = 113
The proportion of subjects assigned to take St. John wort = 113/338
b. The distribution of change in depression response using relative frequency is found as follows;
Total full response = 27 + 27 + 37 = 91
Total partial response = 16 + 26 + 13 = 55
No response = 70 + 56 + 66 = 192
St. John's wort Zoloft Placebo
Full response 27/91 27/91 37/91
Partial response 16/55 26/55 13/55
No response 35/96 7/24 11/32
c. The percentage of subjects that took Zoloft and showed full response is given as follows;
The percentage of subjects that took Zoloft and showed full response = 27/91 × 100 = 29.67%