What is the proportion of deaths within the depressed group?

What is the proportion of deaths within the depressed group?

• A. 18.6%
• B. 20.7%
• C. 33.3%
• D. 29.2%

Answer: (D)

The essential idea here is the proportion within a subgroup—the share of people with depression who died. A proportion is found by taking the number of deaths in the depressed group and dividing it by the total number in that depressed group, then multiplying by 100 to express it as a percent. So, a value of 29.2% means that about 0.292 of the depressed group died. For example, if the depressed group had 48 individuals and 14 died, 14 divided by 48 equals 0.2917, which rounds to 29.2%. This is exactly what the question is asking: the death rate confined to the depressed subgroup. The other percentages would come from different counts or group sizes, but they wouldn’t reflect the specific share of deaths within the depressed group.

The essential idea here is the proportion within a subgroup—the share of people with depression who died. A proportion is found by taking the number of deaths in the depressed group and dividing it by the total number in that depressed group, then multiplying by 100 to express it as a percent.

So, a value of 29.2% means that about 0.292 of the depressed group died. For example, if the depressed group had 48 individuals and 14 died, 14 divided by 48 equals 0.2917, which rounds to 29.2%. This is exactly what the question is asking: the death rate confined to the depressed subgroup.

The other percentages would come from different counts or group sizes, but they wouldn’t reflect the specific share of deaths within the depressed group.