What is a confidence interval?
Unit 10 Take Home Test MC

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A confidence interval is a range of values, derived from sample statistics, that is likely to contain the true population parameter with a specified level of confidence.
2.
FLASHCARD QUESTION
Front
What does a 95% confidence interval indicate?
Back
A 95% confidence interval indicates that if we were to take many samples and build a confidence interval from each sample, approximately 95% of those intervals would contain the true population parameter.
3.
FLASHCARD QUESTION
Front
How does sample size affect the width of a confidence interval?
Back
Increasing the sample size generally results in a narrower confidence interval, as it provides more information about the population.
4.
FLASHCARD QUESTION
Front
What is the null hypothesis (H₀)?
Back
The null hypothesis (H₀) is a statement that there is no effect or no difference, and it serves as the default assumption in hypothesis testing.
5.
FLASHCARD QUESTION
Front
What is the alternative hypothesis (Hₐ)?
Back
The alternative hypothesis (Hₐ) is a statement that indicates the presence of an effect or a difference, opposing the null hypothesis.
6.
FLASHCARD QUESTION
Front
What is a p-value?
Back
A p-value is the probability of obtaining test results at least as extreme as the observed results, assuming that the null hypothesis is true.
7.
FLASHCARD QUESTION
Front
What does it mean if a p-value is less than the significance level (α)?
Back
If a p-value is less than the significance level (α), we reject the null hypothesis, suggesting that there is sufficient evidence to support the alternative hypothesis.
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