**Core Concept**
The National Family Health Survey (NFHS) is a large-scale, multi-round survey conducted in India to provide reliable estimates of health and family welfare indicators at the national and state levels. The survey aims to collect data on various health and family welfare issues, including fertility, mortality, health, nutrition, and family planning practices.

**Why the Correct Answer is Right**
NFHS-3 was conducted during 2005-06 in 29 states and 6 Union Territories of India. The survey was designed to provide a comprehensive picture of the health and family welfare situation in the country, with a focus on the following areas: fertility and family planning, health, nutrition, and population stabilization. The survey collected data through a combination of interviews with ever-married women aged 15-49 years and men aged 15-54 years, as well as through physical examinations and measurements.

**Why Each Wrong Option is Incorrect**
**Option A:** NFHS-1 was conducted in 1992-93, so this option is incorrect.
**Option B:** NFHS-4 was conducted in 2015-16, making this option incorrect as well.
**Option C:** This option is incorrect as NFHS-3 was conducted during 2005-06, not in the late 2000s.

**Clinical Pearl / High-Yield Fact**
It is essential to note that the NFHS is a crucial source of data for policymakers and researchers, providing valuable insights into the health and family welfare situation in India.

**Correct Answer:** D.