STAT 2040 Chapter Notes - Chapter 11: Central Limit Theorem, Simple Random Sample, Confidence Interval
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Most of the time in statistics we deal with the inference of the mean, however, sometimes the research question we are investigating involves other parameters. For example, the proportion of a population that has a certain characteristic. Proportions are the parameter of interest in a wide variety of situations. 1000 hours of use: testing whether a new surgery method reduces the proportion of patients that develop an infection. We design our study and carry out the sampling/experiment in the usual way, with the usual cautions and concerns. But when we analyze the data, we have to use methods that are appropriate for proportions. If the n observations are independent, then x has a. The mean and variance of the sampling distribution of . The mean of the sampling distribution of is (cid:4666) (cid:4667)=(cid:4672)(cid:3041)(cid:4673)=(cid:2869)(cid:3041)(cid:4666)(cid:4667)=(cid:2869)(cid:3041)(cid:1866)= that is an unbiased estimator or p.