RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CONFIDENCE INTERVALS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which of the following changes to a study would result in a smaller confidence interval?
A
increasing the confidence level, increasing the sample size
B
increasing the confidence level, decreasing the sample size
C
decreasing the confidence level, decreasing the sample size
D
decreasing the confidence level, increasing the sample size.
Explanation: 

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: -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.

Detailed explanation-3: -If the confidence level increases, the width of the confidence interval increases. If the confidence level decreases, the width of the confidence interval decreases.

Detailed explanation-4: -Increasing the confidence level increases the error bound, making the confidence interval wider. Decreasing the confidence level decreases the error bound, making the confidence interval narrower.

There is 1 question to complete.