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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. Note that this does not mean that a calculated 95% confidence interval will contain the true proportion with 95% probability. Instead, one should interpret it as follows: the process of drawing a random sample and calculating an accompanying 95% confidence interval will generate a confidence interval that contains the true proportion in 95% of all cases.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 wikiPageRevisionID "695081558".
Binomial_proportion_confidence_interval wikiPageWikiLink Abraham_Wald.
Binomial_proportion_confidence_interval wikiPageWikiLink Bernoulli_trial.
Binomial_proportion_confidence_interval wikiPageWikiLink Beta_distribution.
Binomial_proportion_confidence_interval wikiPageWikiLink Binomial_distribution.
Binomial_proportion_confidence_interval wikiPageWikiLink Category:Statistical_approximations.
Binomial_proportion_confidence_interval wikiPageWikiLink Category:Statistical_intervals.
Binomial_proportion_confidence_interval wikiPageWikiLink Category:Statistical_theory.
Binomial_proportion_confidence_interval wikiPageWikiLink Central_limit_theorem.
Binomial_proportion_confidence_interval wikiPageWikiLink Confidence_interval.
Binomial_proportion_confidence_interval wikiPageWikiLink Continuity_correction.
Binomial_proportion_confidence_interval wikiPageWikiLink Coverage_probability.
Binomial_proportion_confidence_interval wikiPageWikiLink Credible_interval.
Binomial_proportion_confidence_interval wikiPageWikiLink Cumulative_distribution_function.
Binomial_proportion_confidence_interval wikiPageWikiLink Edwin_Bidwell_Wilson.
Binomial_proportion_confidence_interval wikiPageWikiLink Estimation_theory.
Binomial_proportion_confidence_interval wikiPageWikiLink F-distribution.
Binomial_proportion_confidence_interval wikiPageWikiLink Independence_(probability_theory).
Binomial_proportion_confidence_interval wikiPageWikiLink Jeffreys_prior.
Binomial_proportion_confidence_interval wikiPageWikiLink Normal_distribution.
Binomial_proportion_confidence_interval wikiPageWikiLink Pearsons_chi-squared_test.
Binomial_proportion_confidence_interval wikiPageWikiLink Pierre-Simon_Laplace.
Binomial_proportion_confidence_interval wikiPageWikiLink Posterior_probability.
Binomial_proportion_confidence_interval wikiPageWikiLink Prior_probability.
Binomial_proportion_confidence_interval wikiPageWikiLink Quantile.
Binomial_proportion_confidence_interval wikiPageWikiLink R_(programming_language).
Binomial_proportion_confidence_interval wikiPageWikiLink Rule_of_three_(statistics).
Binomial_proportion_confidence_interval wikiPageWikiLink Sample_(statistics).
Binomial_proportion_confidence_interval wikiPageWikiLink Sampling_error.
Binomial_proportion_confidence_interval wikiPageWikiLink Score_test.
Binomial_proportion_confidence_interval wikiPageWikiLink Statistical_population.
Binomial_proportion_confidence_interval wikiPageWikiLink Statistics.
Binomial_proportion_confidence_interval wikiPageWikiLink Wald_test.
Binomial_proportion_confidence_interval wikiPageWikiLink Yatess_correction_for_continuity.
Binomial_proportion_confidence_interval wikiPageWikiLinkText "Binomial proportion confidence interval".
Binomial_proportion_confidence_interval wikiPageWikiLinkText "Binomial proportion confidence interval#Agresti-Coull Interval".
Binomial_proportion_confidence_interval wikiPageWikiLinkText "Binomial_proportion_confidence_interval#Wilson_score_interval".
Binomial_proportion_confidence_interval wikiPageWikiLinkText "Clopper-Pearson".
Binomial_proportion_confidence_interval wikiPageWikiLinkText "Confidence interval for binomial distribution".
Binomial_proportion_confidence_interval wikiPageWikiLinkText "Wilson score interval with continuity correction".
Binomial_proportion_confidence_interval wikiPageWikiLinkText "binomial confidence intervals".
Binomial_proportion_confidence_interval wikiPageWikiLinkText "binomial proportion confidence interval".
Binomial_proportion_confidence_interval wikiPageWikiLinkText "confidence".
Binomial_proportion_confidence_interval wikiPageWikiLinkText "corresponding confidence interval".
Binomial_proportion_confidence_interval wikiPageUsesTemplate Template:=.
Binomial_proportion_confidence_interval wikiPageUsesTemplate Template:Details.
Binomial_proportion_confidence_interval wikiPageUsesTemplate Template:Math.
Binomial_proportion_confidence_interval wikiPageUsesTemplate Template:Reflist.
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 hypernym Interval.
Binomial_proportion_confidence_interval type Theory.
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 sameAs Q1781424.
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 wasDerivedFrom Binomial_proportion_confidence_interval?oldid=695081558.
Binomial_proportion_confidence_interval isPrimaryTopicOf Binomial_proportion_confidence_interval.