Neco Model Questions Vol1 2017 Agricultural Science Question 15

Practice objective / multiple choice question 15 from the 2017 Neco Model Questions Vol1 Agricultural Science examination.

Neco Model Questions Vol1 2017 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 15 NECO_MODEL_QUESTIONS_VOL1 • 2017 • AGRICULTURAL_SCIENCE • objective

An extension officer wishes to estimate the adoption rate of a new fertilizer among 2,000 farmers in a district. He uses a two‑stage cluster sample: first, 10 villages are selected at random from 50 villages; second, 20 farmers are selected at random from each chosen village (total sample size = 200). In the sample, 120 farmers have adopted the fertilizer. Assuming simple random sampling within villages and ignoring finite‑population correction, compute a 95 % confidence interval for the true adoption proportion in the district. Also, identify one possible source of bias in this design and suggest a way to reduce it.

Answer Options

A. 95 % CI ≈ (0.500, 0.640); bias - under‑coverage of villages, mitigate by increasing the number of villages sampled
B. 95 % CI ≈ (0.550, 0.690); bias - measurement error in adoption reporting, mitigate by cross‑checking with purchase records
Correct Answer C. 95 % CI ≈ (0.532, 0.668); bias - intra‑cluster correlation, mitigate by sampling more villages or using a design‑effect adjustment.
D. 95 % CI ≈ (0.480, 0.620); bias - non‑random farmer selection, mitigate by randomizing farmer lists within villages
Correct Answer
C
Correct Option:
95 % CI ≈ (0.532, 0.668); bias - intra‑cluster correlation, mitigate by sampling more villages or using a design‑effect adjustment.

About This Question

This is Neco Model Questions Vol1 2017 Agricultural Science Question 15. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

View More Neco Model Questions Vol1 2017 Agricultural Science Questions More Neco Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support