As pointed out in the previous chapters, the sample mean, c06-math-0001, estimates the population mean c06-math-0002, but typically the estimate will not be exactly correct. That is, it is generally the case that c06-math-0003. Consequently, a fundamental goal is determining what values for the population mean are reasonable based on the available data. In a similar manner, c06-math-0004, the proportion of successes among c06-math-0005 observations, estimates the true probability of success c06-math-0006 associated with a binomial distribution, but generally c06-math-0007. Based on data, how might we determine a range of values that is likely to contain the true value of c06-math-0008? For example, imagine that based on 100 observations . Is it reasonable to conclude ...

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