Asked by YikOn Cheung on May 02, 2024
Verified
When a researcher chooses the 90% confidence level instead of the 95% confidence level, which of the following would be true for their decision?
A) The width of the confidence interval would be less precise.
B) The width of the confidence interval would be the same.
C) The width of the confidence interval would be larger.
D) The width of the confidence interval would be smaller.
Confidence Level
The probability, expressed as a percentage, that a confidence interval will contain the true population parameter across repeated samples or experiments.
Confidence Interval
A gamut of values, resulting from sample analysis, expected to enfold the value of an undefined population characteristic.
- Understand the relationship between level of confidence and precision of the confidence interval.
- Assess the relationship between confidence level choices and their implications on research interpretation.
Verified Answer
ZK
Zybrea KnightMay 03, 2024
Final Answer :
D
Explanation :
Choosing a 90% confidence level instead of a 95% confidence level results in a narrower (smaller) confidence interval because it reflects a lower degree of certainty about the estimate, thus requiring less range to capture the true parameter.
Learning Objectives
- Understand the relationship between level of confidence and precision of the confidence interval.
- Assess the relationship between confidence level choices and their implications on research interpretation.
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