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qid 7445 · economics
Question: Which one of the following is the most appropriate definition of a 99% confidence interval?
- 99% of the time in repeated samples, the interval would contain the estimated value of the null hypothesis
- 99% of the time in repeated samples, the interval would be different from the estimated value of the parameter
- 99% of the time in repeated samples, the null hypothesis will not be rejected when it was false
- 1% of the time in repeated samples, the interval would not contain the true value of the parameter
- 99% of the time in repeated samples, the interval would contain the true value of the null hypothesis
- 99% of the time in repeated samples, the null hypothesis will be accepted when it was false
- 99% of the time in repeated samples, the null hypothesis will be rejected
- 99% of the time in repeated samples, the interval would contain the estimated value of the parameter
- 99% of the time in repeated samples, the interval would contain the true value of the parameter
- 99% of the time in repeated samples, the interval would not contain the true value of the null hypothesis
Our answer: I. 99% of the time in repeated samples, the interval would contain the true value of the parameter Source quote machine-checked (exact quote)
How it was answered
Multi-step solver (maze), replayed by code
Current source
NIST/SEMATECH e-Handbook of Statistical Methods, Section 1.3.5.2
https://www.itl.nist.gov/div898/handbook/eda/section3/eda352.htm
“That is, for a 95 % confidence interval, if many samples are collected and the confidence interval computed, in the long run about 95 % of these intervals would contain the true mean.”
Source quote machine-checked (exact quote)
Earlier version (superseded)
https://www.itl.nist.gov/div898/handbook/eda/section3/eda352.htm
Source weak (http_get_200_text_and_question_terms)
Earlier version (superseded)
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