In a sample of 400 books 172 were Economics books. Estimate the population proportion at 95% confidence levels
A. | 9% to 12% |
B. | 12% to 43% |
C. | 47.86% to 38.14% |
D. | 43% to 12% |
Answer : C Explanation : Sample proportion = 172/400 = 0.43 or p= 0.43 or q = 1 - p 0.57 = 1 -0.43 σ = √pq/n = √(0.43 x 0.57)/400 = 0.0248 Population proportion at 95% confidence level = Sample proportion ± 1.96 σ = 0.43 ± 1.96 x 0.0248 = 0.43 ± 0.0861 = 0.47861 to 0.38139 or between 47.86 to 38.14%. Hence the answer is (c). |
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Option: A Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. |