A 95% confidence interval for p, - P2 is calculated to be (0.1823, 0.3001). If the level of confidence is now decreased to 90%, what happens to the confidence interval? O a. Unknown b. It increases in size c. It decreases in size o d. It remains the same
A 95% confidence interval for p, - P2 is calculated to be (0.1823, 0.3001). If the level of confidence is now decreased to 90%, what happens to the confidence interval? O a. Unknown b. It increases in size c. It decreases in size o d. It remains the same
MATLAB: An Introduction with Applications
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
Transcribed Image Text:### Statistical Confidence Intervals
**Question:**
A 95% confidence interval for \( p_1 - p_2 \) is calculated to be (0.1823, 0.3001). If the level of confidence is now decreased to 90%, what happens to the confidence interval?
**Options:**
- a. Unknown
- b. It increases in size
- c. It decreases in size
- d. It remains the same
**Explanation:**
When the level of confidence is decreased (from 95% to 90% in this case), the confidence interval generally becomes narrower. This means that the confidence interval decreases in size because we are accepting a higher level of uncertainty for a narrower range of values.
#### Answer:
c. It decreases in size
Understanding this concept is crucial for interpreting confidence intervals and making informed decisions based on statistical data analysis.
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