Asked by Mazin Remski on Jul 06, 2024
Verified
Confidence intervals for the population mean µ and population proportion p _____ as the size of the sample increases.
A) become narrower
B) become wider
C) remain the same
D) get closer to 1.
Population Mean
The average of a set of values from the entire population, representing the central tendency of the total data set.
Confidence Intervals
Intervals that are calculated from the observed data and provide a range that likely includes the true parameter of the population, expressed at a certain confidence level.
Sample Increases
The process or act of enlarging the sample size in statistical experiments, aiming to make findings more reliable by reducing sampling error.
- Get to know how sample size and confidence levels contribute to the margin of error and the delineation of confidence intervals for population means and proportions.
Verified Answer
RA
Royal AbrolJul 12, 2024
Final Answer :
A
Explanation :
As the sample size increases, the standard error decreases, which results in a narrower confidence interval. This is because a larger sample size reduces the variability and uncertainty of the sample mean or proportion, allowing us to estimate the population parameter with greater precision and confidence.
Learning Objectives
- Get to know how sample size and confidence levels contribute to the margin of error and the delineation of confidence intervals for population means and proportions.