FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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widens
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narrows
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does not affect
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there is not enough evidence to determine the answer
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Detailed explanation-1: -A larger sample size or lower variability will result in a tighter confidence interval with a smaller margin of error. A smaller sample size or a higher variability will result in a wider confidence interval with a larger margin of error.
Detailed explanation-2: -Remarks on the confidence interval For a fixed level of confidence, the radius of the confidence interval decreases as the sample size (n) increases. This means that the estimate of ยต is more precise for larger n.
Detailed explanation-3: -Correct answer: The width of a confidence interval decreases as the sample size increases and increases as the confidence level increases. Explanation: Larger samples give narrower intervals. We are able to estimate a population proportion more precisely with a larger sample size.
Detailed explanation-4: -Because we have more data and therefore more information, our estimate is more precise. As our sample size increases, the confidence in our estimate increases, our uncertainty decreases and we have greater precision.