STATISTICAL TECHNIQUES AND TOOLS
CONFIDENCE INTERVALS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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It decreases
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It increases
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It remains the same
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There is no way to know without more information.
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Detailed explanation-1: -From above equation we can infer that the standard error value decreases to half of the initial value when the sample size increases from 100 to 400 (i.e. by 4 times).
Detailed explanation-2: -In both formulas, there is an inverse relationship between the sample size and the margin of error. The larger the sample size, the smaller the margin of error. Conversely, the smaller the sample size, the larger the margin of error.
Detailed explanation-3: -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. The level of confidence also affects the interval width.