AP Statistics Flashcards: Constructing a Confidence Interval for a Population Proportion
Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026
Review key ideas with interactive flashcards. This set includes 24 cards to help you master important concepts.
What does checking for the 'approximate normality of the sampling distribution' verify?
This is one of the conditions required to verify that the procedure for calculating a confidence interval for a population proportion is appropriate.
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What does checking for the 'approximate normality of the sampling distribution' verify?
This is one of the conditions required to verify that the procedure for calculating a confidence interval for a population proportion is appropriate.
What two conditions must be verified before calculating a confidence interval for a population proportion?
To calculate a confidence interval for a population proportion, you must check for independence and the approximate normality of the sampling distribution.
After checking conditions, what is the next step in constructing a confidence interval?
The next step is to calculate an appropriate confidence interval for the population proportion.
What can a calculated confidence interval for a population proportion be used for?
Confidence intervals for population proportions can be used to calculate interval estimates with specified units.
What is the first step in the process of creating a confidence interval for a population proportion?
The first step is to identify an appropriate confidence interval procedure, which is a one-sample z-interval for a proportion.
If you have a given sample size, what can you determine about the interval's precision?
For a given sample size, you can determine the margin of error.
How is the margin of error calculated for a proportion interval using categorical variables?
For categorical variables, the margin of error is the critical value (z*) times the standard error (SE).
Term: Interval Estimate
An interval estimate is a range constructed from a point estimate plus or minus a margin of error, used to estimate a population parameter.
Define: Margin of Error
A margin of error indicates how much a sample statistic is likely to vary from the population parameter.
What distribution are the critical values (z*) for a proportion interval found on?
The critical values (z*) are based on the standard normal distribution.
What role does the sample statistic play in the margin of error?
The margin of error describes how much a sample statistic is likely to differ from the true population parameter it is estimating.
Term: One-sample z-interval for a proportion
This is the appropriate procedure to use when constructing a confidence interval for a single population proportion.
What is the relationship between standard error and standard deviation?
The standard error of a statistic is an estimate of its standard deviation.
What does the 'independence' condition help ensure?
The independence condition helps to verify that the procedure for a one-sample z-interval for a proportion is appropriate.
What are the two components that create the margin of error for a proportion?
The margin of error is calculated from the critical value (z*) and the standard error (SE).
How would you use a confidence interval to provide an estimate in specific units, like number of people?
Confidence intervals for population proportions can be used to calculate interval estimates with specified units.
What key statistical skill involves working backwards from a desired margin of error?
A key skill is to determine an estimate for the sample size for a given margin of error.
What is the appropriate confidence interval procedure for a one-sample proportion?
The appropriate procedure for a one-sample proportion is a one-sample z-interval for a proportion.
What are critical values (z*)?
Critical values (z*) are the boundaries for the middle C% of the standard normal distribution.
What is the purpose of verifying conditions before calculating a confidence interval?
Verifying conditions ensures that the chosen procedure for the confidence interval is appropriate for the given data.
How do you form the final interval estimate once you have the point estimate and margin of error?
The interval estimate is constructed by adding and subtracting the margin of error from the point estimate.
Define: Standard Error
The standard error of a statistic is an estimate of its standard deviation.
How can you determine the minimum sample size needed for a desired margin of error?
The margin of error formula can be solved for n to find the minimum sample size for a given margin of error.
What is the general formula for constructing an interval estimate?
An interval estimate is constructed as point estimate ± margin of error.