Confidence Intervals and Binomial Distributions

This set of flashcards covers key vocabulary related to confidence intervals, binomial distributions, and statistics concepts relevant to the lecture.

Confidence Interval (CI)

A range of values that is likely to contain the true population proportion, with a specified confidence level, typically 95%.

Binomial Distribution

A probability distribution that summarizes the likelihood of a value taking on two possible outcomes based on a fixed number of trials.

Cumulative Binomial Distribution

The probability of observing a certain number or fewer successes in a binomial experiment.

Sampling Error

The difference between the sample statistic and the actual population parameter it estimates.

Z-score

A statistical measurement that describes a value's relationship to the mean of a group of values, expressed in terms of standard deviations.

Standard Error (SE)

An estimate of the variability of a sample statistic; it reflects how much sampling distribution deviates from its mean.

Point Estimate

A single value given as an estimate of a population parameter.

Wald Method

A method for constructing confidence intervals for proportions based on the normal approximation.

Agresti-Coull Method

A method for constructing confidence intervals that adjusts the estimates based on sample size for better accuracy.

Proportion (p̂)

The estimated proportion of successes observed in the sample.