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- Binomial_proportion_confidence_interval abstract "In statistics, a binomial proportion confidence interval is a confidence interval for a proportion in a statistical population. It uses the proportion estimated in a statistical sample and allows for sampling error. There are several formulas for a binomial confidence interval, but all of them rely on the assumption of a binomial distribution. In general, a binomial distribution applies when an experiment is repeated a fixed number of times, each trial of the experiment has two possible outcomes (labeled arbitrarily success and failure), the probability of success is the same for each trial, and the trials are statistically independent.A simple example of a binomial distribution is the set of various possible outcomes, and their probabilities, for the number of heads observed when a (not necessarily fair) coin is flipped ten times. The observed binomial proportion is the fraction of the flips which turn out to be heads. Given this observed proportion, the confidence interval for the true proportion innate in that coin is a range of possible proportions which may contain the true proportion. A 95% confidence interval for the proportion, for instance, will contain the true proportion 95% of the times that the procedure for constructing the confidence interval is employed.There are several ways to compute a confidence interval for a binomial proportion. The normal approximation interval is the simplest formula, and the one introduced in most basic Statistics classes and textbooks. This formula, however, is based on an approximation that does not always work well. Several competing formulas are available that perform better, especially for situations with a small sample size and a proportion very close to zero or one. The choice of interval will depend on how important it is to use a simple and easy-to-explain interval versus the desire for better accuracy.".
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- Binomial_proportion_confidence_interval hasPhotoCollection Binomial_proportion_confidence_interval.
- Binomial_proportion_confidence_interval subject Category:Statistical_approximations.
- Binomial_proportion_confidence_interval subject Category:Statistical_intervals.
- Binomial_proportion_confidence_interval subject Category:Statistical_theory.
- Binomial_proportion_confidence_interval type Abstraction100002137.
- Binomial_proportion_confidence_interval type Calculation105802185.
- Binomial_proportion_confidence_interval type Cognition100023271.
- Binomial_proportion_confidence_interval type Estimate105803379.
- Binomial_proportion_confidence_interval type HigherCognitiveProcess105770664.
- Binomial_proportion_confidence_interval type Measure100033615.
- Binomial_proportion_confidence_interval type ProblemSolving105796750.
- Binomial_proportion_confidence_interval type Process105701363.
- Binomial_proportion_confidence_interval type PsychologicalFeature100023100.
- Binomial_proportion_confidence_interval type StatisticalApproximations.
- Binomial_proportion_confidence_interval type StatisticalIntervals.
- Binomial_proportion_confidence_interval type Thinking105770926.
- Binomial_proportion_confidence_interval type TimeInterval115269513.
- Binomial_proportion_confidence_interval comment "In statistics, a binomial proportion confidence interval is a confidence interval for a proportion in a statistical population. It uses the proportion estimated in a statistical sample and allows for sampling error. There are several formulas for a binomial confidence interval, but all of them rely on the assumption of a binomial distribution.".
- Binomial_proportion_confidence_interval label "Binomial proportion confidence interval".
- Binomial_proportion_confidence_interval label "Konfidenzintervall einer unbekannten Wahrscheinlichkeit".
- Binomial_proportion_confidence_interval sameAs Konfidenzintervall_einer_unbekannten_Wahrscheinlichkeit.
- Binomial_proportion_confidence_interval sameAs Proportzio_baterako_konfiantza-tarte.
- Binomial_proportion_confidence_interval sameAs m.09w158.
- Binomial_proportion_confidence_interval sameAs Q1781424.
- Binomial_proportion_confidence_interval sameAs Q1781424.
- Binomial_proportion_confidence_interval sameAs Binomial_proportion_confidence_interval.
- Binomial_proportion_confidence_interval wasDerivedFrom Binomial_proportion_confidence_interval?oldid=605958735.
- Binomial_proportion_confidence_interval isPrimaryTopicOf Binomial_proportion_confidence_interval.