Statistics and methodology

1:

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

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