Asked by Tariq Hollandsworth on May 03, 2024
Verified
As the sample size increases, which of the following is TRUE about the level of confidence?
A) The level of confidence has more of an impact on the width of the confidence interval.
B) The level of confidence has less of an impact on the width of the confidence interval.
C) The level of confidence has no impact on the width of the confidence interval.
D) The level of confidence does not change the width of the confidence interval.
Level of Confidence
The degree to which one can be sure that a particular parameter falls within a specific range, expressed as a percentage.
- Interpret the effects of sample size on the width of the confidence interval.
- Absorb the connection involving the confidence level and the exactness in confidence interval determination.
Verified Answer
MM
Madalyn MudrackMay 08, 2024
Final Answer :
B
Explanation :
As the sample size increases, the impact of the level of confidence on the width of the confidence interval decreases. This is because larger sample sizes tend to produce more precise estimates of the population parameter, which reduces the need for a high level of confidence. Therefore, for larger sample sizes, the width of the confidence interval is primarily determined by the variability in the sample rather than the level of confidence.
Learning Objectives
- Interpret the effects of sample size on the width of the confidence interval.
- Absorb the connection involving the confidence level and the exactness in confidence interval determination.
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