My notes on confidence give this question: An investigator is interested in the amount of time internet users spend watching TV a week. He assumes $\sigma = 3.5$ hours and samples $n=50$ users and takes the sample mean to estimate the population mean $\mu$ Since $n=50$ is large we know that $\frac{\bar{X}-\mu}{\sigma/\sqrt{n}}$ approximates the Standard […]

Let’s say you are estimating a population proportion, which you model as binomial. One source of error already is using the normal approximation to the binomial when getting your critical values. But what bothers me more is that the theoretically sound interval uses the true population proportion in computation of the interval width. This is […]

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