As pointed out in the previous chapters, the sample mean, , estimates the population mean , but typically the estimate will not be exactly correct. That is, it is generally the case that . Consequently, a fundamental goal is determining what values for the population mean are reasonable based on the available data. In a similar manner, , the proportion of successes among observations, estimates the true probability of success associated with a binomial distribution, but generally . Based on data, how might we determine a range of values that is likely to contain the true value of ? For example, imagine that based on 100 observations . Is it reasonable to conclude ...

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