Gce Model Questions Vol1 2018 Agricultural Science Question 48

Practice objective / multiple choice question 48 from the 2018 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2018 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 48 GCE_MODEL_QUESTIONS_VOL1 • 2018 • AGRICULTURAL_SCIENCE • objective

An extension service wishes to estimate the proportion of farmers in a district who have adopted a new pest‑control method. From previous surveys the expected adoption proportion is about 0.40. The service wants a margin of error of \(\pm5\%\) at the 95\% confidence level.\n\n(a) Calculate the minimum sample size required.\n\nAfter surveying 150 farmers, 66 are found to have adopted the method.\n\n(b) Compute the observed adoption proportion and the 95\% confidence interval for the true proportion.\n\n(c) State whether the achieved margin of error meets the original target.

Answer Options

Correct Answer A. Minimum sample size = 369; observed proportion = 0.44; 95% CI = (0.361, 0.519); margin of error 7.9% > 5%, target not met
B. Minimum sample size = 369; observed proportion = 0.44; 95% CI = (0.361, 0.519); margin of error 4.5% < 5%, target met
C. Minimum sample size = 384; observed proportion = 0.44; 95% CI = (0.357, 0.523); margin of error 8.3% > 5%, target not met
D. Minimum sample size = 369; observed proportion = 0.44; 95% CI = (0.370, 0.510); margin of error 7.0% > 5%, target not met
Correct Answer
A
Correct Option:
Minimum sample size = 369; observed proportion = 0.44; 95% CI = (0.361, 0.519); margin of error 7.9% > 5%, target not met

About This Question

This is Gce Model Questions Vol1 2018 Agricultural Science Question 48. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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