Unit 6: Confidence Intervals for Proportions Review

Front

What is a confidence interval for a population proportion?

Back

A confidence interval for a population proportion is a range of values, derived from a sample statistic, that is likely to contain the true population proportion with a specified level of confidence.

Front

How do you calculate the standard error of a sample proportion?

Back

Front

What is the formula for a one-sample z-interval for a population proportion?

Back

Front

What does the margin of error represent in a confidence interval?

Back

The margin of error represents the maximum expected difference between the true population parameter and a sample estimate, indicating the precision of the estimate.

Front

What is the significance of the level of confidence in a confidence interval?

Back

The level of confidence indicates the probability that the confidence interval will contain the true population parameter if the same sampling method is repeated multiple times.

Front

What is the difference between a sample proportion and a population proportion?

Back

A sample proportion is the proportion calculated from a sample, while a population proportion is the true proportion in the entire population.

Front

What is the interpretation of a 95% confidence interval?

Back

A 95% confidence interval means 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.

Front

What is the role of random sampling in constructing confidence intervals?

Back

Random sampling ensures that every individual in the population has an equal chance of being selected, which helps to reduce bias and allows for generalization of results.

Front

What is the impact of sample size on the width of a confidence interval?

Back

As the sample size increases, the width of the confidence interval decreases, leading to a more precise estimate of the population parameter.

Front

What is a one-sample z-interval used for?

Back

A one-sample z-interval is used to estimate the population proportion based on a single sample.