ENVS278 Chapter Notes - Chapter 16: Central Limit Theorem, Confidence Interval, Gorgonian
8 Oct 2016
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We are 95% confident that between 42. 1% and 61. 7% of las redes sea fans are infected. Formally, what we mean is that 95% of samples of this size will produce confidence intervals that capture the true proportion or we are 95% confident that the true proportion lies in our interval . Our uncertainty is about whether the particular sample we have at hand is one of the successful ones or among the 5% that fail to produce an interval that captures the true value. Confidence intervals have the form p 2 se(p ). One proportion z-interval: when the conditions are met, we are ready to find the confidence interval for the population proportion, p, the confidence interval is p z* x se(p ). Since we do not know p, we cannot find the true standard deviation of the sample distribution model. However, we know the observed proportion, p , so we would use that instead.
