It is known that 35 percent of the members of a certain population suffer from one or more chronic
diseases. What is the probability that in a sample of 200 subjects drawn at random from this
population 80 or more will have at least one chronic disease?
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A statistic, such as the sample mean or the sample standard deviation, is a number computed from a sample. Since a sample is random, every statistic is a random variable: it varies from sample to sample in a way that cannot be predicted with certainty. As a random variable it has a mean, a standard deviation, and a probability distribution. The probability distribution of a statistic is called its sampling distribution. Typically sample statistics are not ends in themselves, but are computed in order to estimate the corresponding population parameters, as illustrated in the grand picture of statistics
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