Neco Model Questions Vol1 2025 Agricultural Science Question 9

Practice objective / multiple choice question 9 from the 2025 Neco Model Questions Vol1 Agricultural Science examination.

Neco Model Questions Vol1 2025 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 9 NECO_MODEL_QUESTIONS_VOL1 • 2025 • AGRICULTURAL_SCIENCE • objective

An extension officer wishes to estimate the adoption rate of a new pest‑control technique among 500 cocoa farmers in a district. He uses a two‑stage sampling design: first, 5 villages are randomly selected from 20 villages; second, within each selected village, 12 farmers are randomly chosen. After surveying, 30 of the 60 sampled farmers report using the technique. Estimate the overall adoption proportion for the district and construct a 95 % confidence interval using the normal approximation for proportions. Also, identify one possible source of bias in this sampling design and suggest a way to reduce it.

Answer Options

A. Estimated adoption = 0.55; 95 % CI = (0.42, 0.68). Possible bias: under‑sampling of larger villages; mitigation: stratify by village size.
Correct Answer B. Estimated adoption = 0.50; 95 % CI = (0.37, 0.63). Possible bias: non‑representative village selection; mitigation: use PPS sampling of villages.
C. Estimated adoption = 0.45; 95 % CI = (0.32, 0.58). Possible bias: selection of villages by convenience; mitigation: randomize village selection.
D. Estimated adoption = 0.60; 95 % CI = (0.47, 0.73). Possible bias: respondent fatigue leading to under‑reporting; mitigation: shorten questionnaire.
Correct Answer
B
Correct Option:
Estimated adoption = 0.50; 95 % CI = (0.37, 0.63). Possible bias: non‑representative village selection; mitigation: use PPS sampling of villages.

About This Question

This is Neco Model Questions Vol1 2025 Agricultural Science Question 9. It is one of the objective questions from the 2025 Neco Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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