Asked by Lanie Barnhill on Apr 28, 2024
Verified
The ______ the desired width of a confidence interval, the ______ the necessary sample size.
A) larger; larger
B) smaller; smaller
C) larger; smaller
D) smaller; larger
Confidence Interval
A scope of values, derived from sampling data analysis, intended to cover the value of an unknown parameter in a population.
Sample Size
The count of observations or duplicates that are part of a statistical sample.
- Generate precise confidence intervals with reference to sample statistics.
- Understand the impact of sample size on the accuracy of confidence intervals.
Verified Answer
SS
Shiri ShaheidMay 01, 2024
Final Answer :
D
Explanation :
When the desired width of a confidence interval is smaller, this means we want a more precise estimate, which leads to a larger necessary sample size. Conversely, if we are willing to tolerate a larger interval width, we can obtain a smaller sample size. Therefore, the relationship is inverse, making option D the correct choice.
Learning Objectives
- Generate precise confidence intervals with reference to sample statistics.
- Understand the impact of sample size on the accuracy of confidence intervals.