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Problem 2.12: What is the minimum size for n that ensures that B < 2%?

a) B > 2%
b) n > 2
c) B < 2%
d) n > B

1 Answer

2 votes

Final answer:

The minimum size for n to ensure B is less than 2% depends on the context of the problem and the use of a statistical formula. The correct answer is option c).

Step-by-step explanation:

To determine the minimum size for n that ensures that B < 2%, additional details about the specific problem and its context are required. However, if we interpret B as a percentage bound in a statistical context, such as the margin of error or the confidence interval boundary, the size of n typically relates to the sample size in a statistical study.

The larger the sample size n, the smaller the margin of error B becomes, allowing for more precise estimates. The exact formula to determine n might look like n = (Z^2 · p · (1-p)) / B^2, where Z is the Z-score associated with the confidence level.

p is the estimated population proportion, and B is the margin of error expressed as a decimal (for B < 2%, B would be 0.02). If B represents this margin of error, and considering a typical estimated proportion (p), a Z-score for 90% confidence could be used to calculate the minimum sample size (n).

User Phil Birnie
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