HSCI 330 Lecture 12: HSCI 330 -Week 12

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A 95% ci can be interpreted using the probability statement p(l < the parameter < u) = If a ci is computed for several repeats of the same study, we would expect about 95% of the ci"s to cover the true population parameter. The random elements of a confidence interval are the limits l and u. It is incorrect to assume that the parameter in the middle of a confidence interval statement is a random variable. The larger the confidence level chosen, the wider will be the confidence interval. If we computed 95% ci for the data resulting from each repeat, then we would expect that about. 95% of these confident intervals would cover the true pop. There is a probability of . 95 that the interval b/w . 495 and . 587 includes the true population difference in proportions . The true difference lies outside the interval but only 5% chance of it occurring.

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