🧩🎯Confidence Intervals for Proportions
Flashcard
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Mathematics
•
12th Grade
•
Practice Problem
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Medium
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1.
FLASHCARD QUESTION
Front
What is a confidence interval?
Back
A confidence interval is a range of values, derived from a data set, that is likely to contain the true value of an unknown population parameter. It is expressed with a certain level of confidence, such as 90% or 95%.
2.
FLASHCARD QUESTION
Front
What does the symbol z* represent in statistics?
Back
The symbol z* represents the critical value that corresponds to a specified confidence level in a standard normal distribution.
3.
FLASHCARD QUESTION
Front
How do you calculate the margin of error for a confidence interval?
Back
The margin of error is calculated as the product of the critical value (z*) and the standard error of the sample proportion.
4.
FLASHCARD QUESTION
Front
What is the formula for the standard error of a proportion?
Back
The standard error (SE) of a proportion is calculated using the formula: SE = sqrt[(p-hat * (1 - p-hat)) / n], where p-hat is the sample proportion and n is the sample size.
5.
FLASHCARD QUESTION
Front
What is p-hat in statistics?
Back
p-hat (p̂) is the sample proportion, which is the number of successes divided by the total number of trials in a sample.
6.
FLASHCARD QUESTION
Front
What is the significance of a 90% confidence interval?
Back
A 90% confidence interval means that if we were to take many samples and build a confidence interval from each sample, approximately 90% of those intervals would contain the true population parameter.
7.
FLASHCARD QUESTION
Front
How do you interpret a confidence interval?
Back
A confidence interval provides a range of plausible values for a population parameter, indicating the uncertainty around the estimate.
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